author | nipkow |
Sun, 22 Dec 2002 10:43:43 +0100 | |
changeset 13763 | f94b569cd610 |
parent 243 | c22b85994e17 |
permissions | -rw-r--r-- |
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(* Title: HOLCF/cfun3.ML |
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ID: $Id$ |
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Author: Franz Regensburger |
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Copyright 1993 Technische Universitaet Muenchen |
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*) |
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open Cfun3; |
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(* ------------------------------------------------------------------------ *) |
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(* the contlub property for fapp its 'first' argument *) |
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(* ------------------------------------------------------------------------ *) |
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val contlub_fapp1 = prove_goal Cfun3.thy "contlub(fapp)" |
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(fn prems => |
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[ |
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(rtac contlubI 1), |
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(strip_tac 1), |
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(rtac (expand_fun_eq RS iffD2) 1), |
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(strip_tac 1), |
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(rtac (lub_cfun RS thelubI RS ssubst) 1), |
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(atac 1), |
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(rtac (Cfunapp2 RS ssubst) 1), |
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(etac contX_lubcfun 1), |
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(rtac (lub_fun RS thelubI RS ssubst) 1), |
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(etac (monofun_fapp1 RS ch2ch_monofun) 1), |
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(rtac refl 1) |
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]); |
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(* ------------------------------------------------------------------------ *) |
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(* the contX property for fapp in its first argument *) |
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(* ------------------------------------------------------------------------ *) |
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val contX_fapp1 = prove_goal Cfun3.thy "contX(fapp)" |
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(fn prems => |
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[ |
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(rtac monocontlub2contX 1), |
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(rtac monofun_fapp1 1), |
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(rtac contlub_fapp1 1) |
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]); |
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(* ------------------------------------------------------------------------ *) |
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(* contlub, contX properties of fapp in its first argument in mixfix _[_] *) |
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(* ------------------------------------------------------------------------ *) |
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val contlub_cfun_fun = prove_goal Cfun3.thy |
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"is_chain(FY) ==>\ |
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\ lub(range(FY))[x] = lub(range(%i.FY(i)[x]))" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(rtac trans 1), |
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(etac (contlub_fapp1 RS contlubE RS spec RS mp RS fun_cong) 1), |
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(rtac (thelub_fun RS ssubst) 1), |
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(etac (monofun_fapp1 RS ch2ch_monofun) 1), |
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(rtac refl 1) |
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]); |
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val contX_cfun_fun = prove_goal Cfun3.thy |
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"is_chain(FY) ==>\ |
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\ range(%i.FY(i)[x]) <<| lub(range(FY))[x]" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(rtac thelubE 1), |
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(etac ch2ch_fappL 1), |
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(etac (contlub_cfun_fun RS sym) 1) |
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]); |
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(* ------------------------------------------------------------------------ *) |
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(* contlub, contX properties of fapp in both argument in mixfix _[_] *) |
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(* ------------------------------------------------------------------------ *) |
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val contlub_cfun = prove_goal Cfun3.thy |
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"[|is_chain(FY);is_chain(TY)|] ==>\ |
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\ lub(range(FY))[lub(range(TY))] = lub(range(%i.FY(i)[TY(i)]))" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(rtac contlub_CF2 1), |
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(rtac contX_fapp1 1), |
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(rtac allI 1), |
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(rtac contX_fapp2 1), |
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(atac 1), |
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(atac 1) |
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]); |
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val contX_cfun = prove_goal Cfun3.thy |
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"[|is_chain(FY);is_chain(TY)|] ==>\ |
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\ range(%i.FY(i)[TY(i)]) <<| lub(range(FY))[lub(range(TY))]" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(rtac thelubE 1), |
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(rtac (monofun_fapp1 RS ch2ch_MF2LR) 1), |
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(rtac allI 1), |
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(rtac monofun_fapp2 1), |
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(atac 1), |
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(atac 1), |
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(etac (contlub_cfun RS sym) 1), |
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(atac 1) |
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]); |
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(* ------------------------------------------------------------------------ *) |
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(* contX2contX lemma for fapp *) |
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(* ------------------------------------------------------------------------ *) |
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val contX2contX_fapp = prove_goal Cfun3.thy |
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"[|contX(%x.ft(x));contX(%x.tt(x))|] ==> contX(%x.(ft(x))[tt(x)])" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(rtac contX2contX_app2 1), |
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(rtac contX2contX_app2 1), |
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(rtac contX_const 1), |
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(rtac contX_fapp1 1), |
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(atac 1), |
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(rtac contX_fapp2 1), |
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(atac 1) |
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]); |
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(* ------------------------------------------------------------------------ *) |
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(* contX2mono Lemma for %x. LAM y. c1(x,y) *) |
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(* ------------------------------------------------------------------------ *) |
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|
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val contX2mono_LAM = prove_goal Cfun3.thy |
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"[|!x.contX(c1(x)); !y.monofun(%x.c1(x,y))|] ==>\ |
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\ monofun(%x. LAM y. c1(x,y))" |
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135 |
(fn prems => |
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136 |
[ |
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(cut_facts_tac prems 1), |
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138 |
(rtac monofunI 1), |
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139 |
(strip_tac 1), |
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(rtac (less_cfun RS ssubst) 1), |
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(rtac (less_fun RS ssubst) 1), |
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(rtac allI 1), |
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(rtac (beta_cfun RS ssubst) 1), |
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144 |
(etac spec 1), |
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(rtac (beta_cfun RS ssubst) 1), |
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(etac spec 1), |
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(etac ((hd (tl prems)) RS spec RS monofunE RS spec RS spec RS mp) 1) |
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]); |
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|
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(* ------------------------------------------------------------------------ *) |
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(* contX2contX Lemma for %x. LAM y. c1(x,y) *) |
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(* ------------------------------------------------------------------------ *) |
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|
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val contX2contX_LAM = prove_goal Cfun3.thy |
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"[| !x.contX(c1(x)); !y.contX(%x.c1(x,y)) |] ==> contX(%x. LAM y. c1(x,y))" |
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(fn prems => |
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157 |
[ |
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(cut_facts_tac prems 1), |
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(rtac monocontlub2contX 1), |
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(etac contX2mono_LAM 1), |
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(rtac (contX2mono RS allI) 1), |
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(etac spec 1), |
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163 |
(rtac contlubI 1), |
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164 |
(strip_tac 1), |
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(rtac (thelub_cfun RS ssubst) 1), |
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(rtac (contX2mono_LAM RS ch2ch_monofun) 1), |
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167 |
(atac 1), |
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168 |
(rtac (contX2mono RS allI) 1), |
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169 |
(etac spec 1), |
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(atac 1), |
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(res_inst_tac [("f","fabs")] arg_cong 1), |
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172 |
(rtac ext 1), |
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173 |
(rtac (beta_cfun RS ext RS ssubst) 1), |
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174 |
(etac spec 1), |
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175 |
(rtac (contX2contlub RS contlubE |
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RS spec RS mp ) 1), |
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177 |
(etac spec 1), |
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178 |
(atac 1) |
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179 |
]); |
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180 |
|
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181 |
(* ------------------------------------------------------------------------ *) |
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(* elimination of quantifier in premisses of contX2contX_LAM yields good *) |
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183 |
(* lemma for the contX tactic *) |
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184 |
(* ------------------------------------------------------------------------ *) |
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185 |
|
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186 |
val contX2contX_LAM2 = (allI RSN (2,(allI RS contX2contX_LAM))); |
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187 |
(* |
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[| !!x. contX(?c1.0(x)); !!y. contX(%x. ?c1.0(x,y)) |] ==> |
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contX(%x. LAM y. ?c1.0(x,y)) |
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190 |
*) |
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191 |
|
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(* ------------------------------------------------------------------------ *) |
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193 |
(* contX2contX tactic *) |
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194 |
(* ------------------------------------------------------------------------ *) |
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195 |
|
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196 |
val contX_lemmas = [contX_const, contX_id, contX_fapp2, |
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197 |
contX2contX_fapp,contX2contX_LAM2]; |
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198 |
|
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199 |
|
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200 |
val contX_tac = (fn i => (resolve_tac contX_lemmas i)); |
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201 |
|
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202 |
val contX_tacR = (fn i => (REPEAT (contX_tac i))); |
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203 |
|
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204 |
(* ------------------------------------------------------------------------ *) |
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205 |
(* function application _[_] is strict in its first arguments *) |
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206 |
(* ------------------------------------------------------------------------ *) |
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207 |
|
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208 |
val strict_fapp1 = prove_goal Cfun3.thy "UU[x] = UU" |
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209 |
(fn prems => |
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210 |
[ |
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211 |
(rtac (inst_cfun_pcpo RS ssubst) 1), |
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212 |
(rewrite_goals_tac [UU_cfun_def]), |
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213 |
(rtac (beta_cfun RS ssubst) 1), |
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214 |
(contX_tac 1), |
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215 |
(rtac refl 1) |
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216 |
]); |
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217 |
|
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218 |
|
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219 |
(* ------------------------------------------------------------------------ *) |
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220 |
(* results about strictify *) |
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221 |
(* ------------------------------------------------------------------------ *) |
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222 |
|
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223 |
val Istrictify1 = prove_goalw Cfun3.thy [Istrictify_def] |
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224 |
"Istrictify(f)(UU)=UU" |
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225 |
(fn prems => |
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226 |
[ |
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227 |
(rtac select_equality 1), |
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228 |
(fast_tac HOL_cs 1), |
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229 |
(fast_tac HOL_cs 1) |
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230 |
]); |
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231 |
|
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232 |
val Istrictify2 = prove_goalw Cfun3.thy [Istrictify_def] |
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233 |
"~x=UU ==> Istrictify(f)(x)=f[x]" |
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234 |
(fn prems => |
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235 |
[ |
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236 |
(cut_facts_tac prems 1), |
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237 |
(rtac select_equality 1), |
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238 |
(fast_tac HOL_cs 1), |
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239 |
(fast_tac HOL_cs 1) |
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240 |
]); |
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241 |
|
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242 |
val monofun_Istrictify1 = prove_goal Cfun3.thy "monofun(Istrictify)" |
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243 |
(fn prems => |
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244 |
[ |
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245 |
(rtac monofunI 1), |
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246 |
(strip_tac 1), |
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247 |
(rtac (less_fun RS iffD2) 1), |
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248 |
(strip_tac 1), |
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249 |
(res_inst_tac [("Q","xa=UU")] (excluded_middle RS disjE) 1), |
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250 |
(rtac (Istrictify2 RS ssubst) 1), |
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251 |
(atac 1), |
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252 |
(rtac (Istrictify2 RS ssubst) 1), |
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253 |
(atac 1), |
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254 |
(rtac monofun_cfun_fun 1), |
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255 |
(atac 1), |
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256 |
(hyp_subst_tac 1), |
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257 |
(rtac (Istrictify1 RS ssubst) 1), |
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|
258 |
(rtac (Istrictify1 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
259 |
(rtac refl_less 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
260 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
261 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
262 |
val monofun_Istrictify2 = prove_goal Cfun3.thy "monofun(Istrictify(f))" |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
263 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
264 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
265 |
(rtac monofunI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
266 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
267 |
(res_inst_tac [("Q","x=UU")] (excluded_middle RS disjE) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
268 |
(rtac (Istrictify2 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
269 |
(etac notUU_I 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
270 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
271 |
(rtac (Istrictify2 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
272 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
273 |
(rtac monofun_cfun_arg 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
274 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
275 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
276 |
(rtac (Istrictify1 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
277 |
(rtac minimal 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
278 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
279 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
280 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
281 |
val contlub_Istrictify1 = prove_goal Cfun3.thy "contlub(Istrictify)" |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
282 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
283 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
284 |
(rtac contlubI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
285 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
286 |
(rtac (expand_fun_eq RS iffD2) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
287 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
288 |
(rtac (thelub_fun RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
289 |
(etac (monofun_Istrictify1 RS ch2ch_monofun) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
290 |
(res_inst_tac [("Q","x=UU")] (excluded_middle RS disjE) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
291 |
(rtac (Istrictify2 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
292 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
293 |
(rtac (Istrictify2 RS ext RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
294 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
295 |
(rtac (thelub_cfun RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
296 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
297 |
(rtac (beta_cfun RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
298 |
(rtac contX_lubcfun 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
299 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
300 |
(rtac refl 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
301 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
302 |
(rtac (Istrictify1 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
303 |
(rtac (Istrictify1 RS ext RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
304 |
(rtac (chain_UU_I_inverse RS sym) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
305 |
(rtac (refl RS allI) 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
306 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
307 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
308 |
val contlub_Istrictify2 = prove_goal Cfun3.thy "contlub(Istrictify(f))" |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
309 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
310 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
311 |
(rtac contlubI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
312 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
313 |
(res_inst_tac [("Q","lub(range(Y))=UU")] classical2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
314 |
(res_inst_tac [("t","lub(range(Y))")] subst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
315 |
(rtac sym 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
316 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
317 |
(rtac (Istrictify1 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
318 |
(rtac sym 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
319 |
(rtac chain_UU_I_inverse 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
320 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
321 |
(res_inst_tac [("t","Y(i)"),("s","UU")] subst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
322 |
(rtac sym 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
323 |
(rtac (chain_UU_I RS spec) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
324 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
325 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
326 |
(rtac Istrictify1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
327 |
(rtac (Istrictify2 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
328 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
329 |
(res_inst_tac [("s","lub(range(%i. f[Y(i)]))")] trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
330 |
(rtac contlub_cfun_arg 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
331 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
332 |
(rtac lub_equal2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
333 |
(rtac (chain_mono2 RS exE) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
334 |
(atac 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
335 |
(rtac chain_UU_I_inverse2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
336 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
337 |
(rtac exI 1), |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
338 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
339 |
(rtac (Istrictify2 RS sym) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
340 |
(fast_tac HOL_cs 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
341 |
(rtac ch2ch_monofun 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
342 |
(rtac monofun_fapp2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
343 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
344 |
(rtac ch2ch_monofun 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
345 |
(rtac monofun_Istrictify2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
346 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
347 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
348 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
349 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
350 |
val contX_Istrictify1 = (contlub_Istrictify1 RS |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
351 |
(monofun_Istrictify1 RS monocontlub2contX)); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
352 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
353 |
val contX_Istrictify2 = (contlub_Istrictify2 RS |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
354 |
(monofun_Istrictify2 RS monocontlub2contX)); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
355 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
356 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
357 |
val strictify1 = prove_goalw Cfun3.thy [strictify_def] |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
358 |
"strictify[f][UU]=UU" |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
359 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
360 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
361 |
(rtac (beta_cfun RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
362 |
(contX_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
363 |
(rtac contX_Istrictify2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
364 |
(rtac contX2contX_CF1L 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
365 |
(rtac contX_Istrictify1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
366 |
(rtac (beta_cfun RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
367 |
(rtac contX_Istrictify2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
368 |
(rtac Istrictify1 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
369 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
370 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
371 |
val strictify2 = prove_goalw Cfun3.thy [strictify_def] |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
372 |
"~x=UU ==> strictify[f][x]=f[x]" |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
373 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
374 |
[ |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
375 |
(rtac (beta_cfun RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
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changeset
|
376 |
(contX_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
377 |
(rtac contX_Istrictify2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
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changeset
|
378 |
(rtac contX2contX_CF1L 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
379 |
(rtac contX_Istrictify1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
380 |
(rtac (beta_cfun RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
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changeset
|
381 |
(rtac contX_Istrictify2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
changeset
|
382 |
(rtac Istrictify2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
383 |
(resolve_tac prems 1) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
384 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
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changeset
|
385 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* ------------------------------------------------------------------------ *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* Instantiate the simplifier *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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389 |
(* ------------------------------------------------------------------------ *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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390 |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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val Cfun_rews = [minimal,refl_less,beta_cfun,strict_fapp1,strictify1, |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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strictify2]; |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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393 |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* ------------------------------------------------------------------------ *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* use contX_tac as autotac. *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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396 |
(* ------------------------------------------------------------------------ *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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397 |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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398 |
val Cfun_ss = HOL_ss |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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399 |
addsimps Cfun_rews |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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400 |
setsolver |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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401 |
(fn thms => (resolve_tac (TrueI::refl::thms)) ORELSE' atac ORELSE' |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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402 |
(fn i => DEPTH_SOLVE_1 (contX_tac i)) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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403 |
); |