author | paulson |
Tue, 24 May 2005 10:55:11 +0200 | |
changeset 16062 | f8110bd9957f |
parent 16056 | 32c3b7188c28 |
child 16070 | 4a83dd540b88 |
permissions | -rw-r--r-- |
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(* Title: HOLCF/Adm.thy |
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ID: $Id$ |
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Author: Franz Regensburger |
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License: GPL (GNU GENERAL PUBLIC LICENSE) |
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*) |
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|
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header {* Admissibility *} |
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|
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theory Adm |
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imports Cfun |
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begin |
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|
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defaultsort cpo |
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|
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subsection {* Definitions *} |
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|
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consts |
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adm :: "('a::cpo=>bool)=>bool" |
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|
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defs |
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adm_def: "adm P == !Y. chain(Y) --> |
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(!i. P(Y i)) --> P(lub(range Y))" |
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|
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subsection {* Admissibility and fixed point induction *} |
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|
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text {* access to definitions *} |
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|
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lemma admI: |
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"(!!Y. [| chain Y; !i. P (Y i) |] ==> P (lub (range Y))) ==> adm P" |
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apply (unfold adm_def) |
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apply blast |
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done |
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|
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lemma triv_admI: "!x. P x ==> adm P" |
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apply (rule admI) |
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apply (erule spec) |
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done |
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|
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lemma admD: "[| adm(P); chain(Y); !i. P(Y(i)) |] ==> P(lub(range(Y)))" |
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apply (unfold adm_def) |
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apply blast |
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done |
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|
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text {* for chain-finite (easy) types every formula is admissible *} |
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|
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lemma adm_max_in_chain: |
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"!Y. chain(Y::nat=>'a) --> (? n. max_in_chain n Y) ==> adm(P::'a=>bool)" |
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apply (unfold adm_def) |
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apply (intro strip) |
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apply (rule exE) |
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apply (rule mp) |
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apply (erule spec) |
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apply assumption |
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apply (subst lub_finch1 [THEN thelubI]) |
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apply assumption |
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apply assumption |
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apply (erule spec) |
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done |
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|
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lemmas adm_chfin = chfin [THEN adm_max_in_chain, standard] |
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|
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text {* some lemmata for functions with flat/chfin domain/range types *} |
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|
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lemma adm_chfindom: "adm (%(u::'a::cpo->'b::chfin). P(u$s))" |
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apply (unfold adm_def) |
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apply (intro strip) |
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apply (drule chfin_Rep_CFunR) |
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apply (erule_tac x = "s" in allE) |
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apply clarsimp |
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done |
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|
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(* adm_flat not needed any more, since it is a special case of adm_chfindom *) |
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|
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text {* improved admissibility introduction *} |
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|
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lemma admI2: |
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"(!!Y. [| chain Y; !i. P (Y i); !i. ? j. i < j & Y i ~= Y j & Y i << Y j |] |
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==> P(lub (range Y))) ==> adm P" |
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apply (unfold adm_def) |
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apply (intro strip) |
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apply (erule increasing_chain_adm_lemma) |
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apply assumption |
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apply fast |
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done |
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|
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text {* admissibility of special formulae and propagation *} |
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|
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lemma adm_less [simp]: "[|cont u;cont v|]==> adm(%x. u x << v x)" |
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apply (unfold adm_def) |
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apply (intro strip) |
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apply (frule_tac f = "u" in cont2mono [THEN ch2ch_monofun]) |
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apply assumption |
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apply (frule_tac f = "v" in cont2mono [THEN ch2ch_monofun]) |
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apply assumption |
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95 |
apply (erule cont2contlub [THEN contlubE, THEN spec, THEN mp, THEN ssubst]) |
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apply assumption |
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apply (erule cont2contlub [THEN contlubE, THEN spec, THEN mp, THEN ssubst]) |
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apply assumption |
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apply (blast intro: lub_mono) |
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done |
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|
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lemma adm_conj [simp]: "[| adm P; adm Q |] ==> adm(%x. P x & Q x)" |
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by (fast elim: admD intro: admI) |
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|
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lemma adm_not_free [simp]: "adm(%x. t)" |
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apply (unfold adm_def) |
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apply fast |
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done |
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|
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lemma adm_not_less: "cont t ==> adm(%x.~ (t x) << u)" |
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apply (unfold adm_def) |
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112 |
apply (intro strip) |
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113 |
apply (rule contrapos_nn) |
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114 |
apply (erule spec) |
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115 |
apply (rule trans_less) |
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prefer 2 apply (assumption) |
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apply (erule cont2mono [THEN monofun_fun_arg]) |
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apply (rule is_ub_thelub) |
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119 |
apply assumption |
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120 |
done |
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121 |
|
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122 |
lemma adm_all: "!y. adm(P y) ==> adm(%x.!y. P y x)" |
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by (fast intro: admI elim: admD) |
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|
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lemmas adm_all2 = allI [THEN adm_all, standard] |
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126 |
|
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lemma adm_subst: "[|cont t; adm P|] ==> adm(%x. P (t x))" |
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128 |
apply (rule admI) |
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129 |
apply (simplesubst cont2contlub [THEN contlubE, THEN spec, THEN mp]) |
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130 |
apply assumption |
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131 |
apply assumption |
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132 |
apply (erule admD) |
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133 |
apply (erule cont2mono [THEN ch2ch_monofun]) |
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134 |
apply assumption |
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135 |
apply assumption |
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136 |
done |
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137 |
|
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138 |
lemma adm_UU_not_less: "adm(%x.~ UU << t(x))" |
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139 |
by simp |
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140 |
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141 |
lemma adm_not_UU: "cont(t)==> adm(%x.~ (t x) = UU)" |
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Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
142 |
apply (unfold adm_def) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
143 |
apply (intro strip) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
144 |
apply (rule contrapos_nn) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
145 |
apply (erule spec) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
146 |
apply (rule chain_UU_I [THEN spec]) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
147 |
apply (erule cont2mono [THEN ch2ch_monofun]) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
148 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
149 |
apply (erule cont2contlub [THEN contlubE, THEN spec, THEN mp, THEN subst]) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
150 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
151 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
152 |
done |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
153 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
154 |
lemma adm_eq: "[|cont u ; cont v|]==> adm(%x. u x = v x)" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
155 |
by (simp add: po_eq_conv) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
156 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
157 |
text {* admissibility for disjunction is hard to prove. It takes 7 Lemmas *} |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
158 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
159 |
lemma adm_disj_lemma1: |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
160 |
"\<forall>n::nat. P n \<or> Q n \<Longrightarrow> (\<forall>i. \<exists>j\<ge>i. P j) \<or> (\<forall>i. \<exists>j\<ge>i. Q j)" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
161 |
apply (erule contrapos_pp) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
162 |
apply clarsimp |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
163 |
apply (rule exI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
164 |
apply (rule conjI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
165 |
apply (drule spec, erule mp) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
166 |
apply (rule le_maxI1) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
167 |
apply (drule spec, erule mp) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
168 |
apply (rule le_maxI2) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
169 |
done |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
170 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
171 |
lemma adm_disj_lemma2: "[| adm P; \<exists>X. chain X & (!n. P(X n)) & |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
172 |
lub(range Y)=lub(range X)|] ==> P(lub(range Y))" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
173 |
by (force elim: admD) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
174 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
175 |
lemma adm_disj_lemma3: |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
176 |
"[| chain(Y::nat=>'a::cpo); \<forall>i. \<exists>j\<ge>i. P (Y j) |] ==> |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
177 |
chain(%m. Y (LEAST j. m\<le>j \<and> P(Y j)))" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
178 |
apply (rule chainI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
179 |
apply (erule chain_mono3) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
180 |
apply (rule Least_le) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
181 |
apply (rule conjI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
182 |
apply (rule Suc_leD) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
183 |
apply (erule allE) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
184 |
apply (erule exE) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
185 |
apply (erule LeastI [THEN conjunct1]) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
186 |
apply (erule allE) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
187 |
apply (erule exE) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
188 |
apply (erule LeastI [THEN conjunct2]) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
189 |
done |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
190 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
191 |
lemma adm_disj_lemma4: |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
192 |
"[| \<forall>i. \<exists>j\<ge>i. P (Y j) |] ==> ! m. P(Y(LEAST j::nat. m\<le>j & P(Y j)))" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
193 |
apply (rule allI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
194 |
apply (erule allE) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
195 |
apply (erule exE) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
196 |
apply (erule LeastI [THEN conjunct2]) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
197 |
done |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
198 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
199 |
lemma adm_disj_lemma5: |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
200 |
"[| chain(Y::nat=>'a::cpo); \<forall>i. \<exists>j\<ge>i. P(Y j) |] ==> |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
201 |
lub(range(Y)) = (LUB m. Y(LEAST j. m\<le>j & P(Y j)))" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
202 |
apply (rule antisym_less) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
203 |
apply (rule lub_mono) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
204 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
205 |
apply (erule adm_disj_lemma3) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
206 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
207 |
apply (rule allI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
208 |
apply (erule chain_mono3) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
209 |
apply (erule allE) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
210 |
apply (erule exE) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
211 |
apply (erule LeastI [THEN conjunct1]) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
212 |
apply (rule lub_mono3) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
213 |
apply (erule adm_disj_lemma3) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
214 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
215 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
216 |
apply (rule allI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
217 |
apply (rule exI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
218 |
apply (rule refl_less) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
219 |
done |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
220 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
221 |
lemma adm_disj_lemma6: |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
222 |
"[| chain(Y::nat=>'a::cpo); \<forall>i. \<exists>j\<ge>i. P(Y j) |] ==> |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
223 |
\<exists>X. chain X & (\<forall>n. P(X n)) & lub(range Y) = lub(range X)" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
224 |
apply (rule_tac x = "%m. Y (LEAST j. m\<le>j & P (Y j))" in exI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
225 |
apply (fast intro!: adm_disj_lemma3 adm_disj_lemma4 adm_disj_lemma5) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
226 |
done |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
227 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
228 |
lemma adm_disj_lemma7: |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
229 |
"[| adm(P); chain(Y); \<forall>i. \<exists>j\<ge>i. P(Y j) |]==>P(lub(range(Y)))" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
230 |
apply (erule adm_disj_lemma2) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
231 |
apply (erule adm_disj_lemma6) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
232 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
233 |
done |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
234 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
235 |
lemma adm_disj: "[| adm P; adm Q |] ==> adm(%x. P x | Q x)" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
236 |
apply (rule admI) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
237 |
apply (erule adm_disj_lemma1 [THEN disjE]) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
238 |
apply (rule disjI1) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
239 |
apply (erule adm_disj_lemma7) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
240 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
241 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
242 |
apply (rule disjI2) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
243 |
apply (erule adm_disj_lemma7) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
244 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
245 |
apply assumption |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
246 |
done |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
247 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
248 |
lemma adm_imp: "[| adm(%x.~(P x)); adm Q |] ==> adm(%x. P x --> Q x)" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
249 |
by (subst imp_conv_disj, rule adm_disj) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
250 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
251 |
lemma adm_iff: "[| adm (%x. P x --> Q x); adm (%x. Q x --> P x) |] |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
252 |
==> adm (%x. P x = Q x)" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
253 |
by (subst iff_conv_conj_imp, rule adm_conj) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
254 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
255 |
lemma adm_not_conj: "[| adm (%x. ~ P x); adm (%x. ~ Q x) |] ==> adm (%x. ~ (P x & Q x))" |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
256 |
by (subst de_Morgan_conj, rule adm_disj) |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
257 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
258 |
lemmas adm_lemmas = adm_not_free adm_imp adm_disj adm_eq adm_not_UU |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
259 |
adm_UU_not_less adm_all2 adm_not_less adm_not_conj adm_iff |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
260 |
|
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
261 |
declare adm_lemmas [simp] |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
262 |
|
16062
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
263 |
(* legacy ML bindings *) |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
264 |
ML |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
265 |
{* |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
266 |
val adm_def = thm "adm_def"; |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
267 |
val admI = thm "admI"; |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
268 |
val triv_admI = thm "triv_admI"; |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
269 |
val admD = thm "admD"; |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
270 |
val adm_max_in_chain = thm "adm_max_in_chain"; |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
271 |
val adm_chfin = thm "adm_chfin"; |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
272 |
val adm_chfindom = thm "adm_chfindom"; |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
|
273 |
val admI2 = thm "admI2"; |
f8110bd9957f
cannot have files named adm.ML and Adm.ML on Macs, so deleted one and renamed the other
paulson
parents:
16056
diff
changeset
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274 |
val adm_less = thm "adm_less"; |
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val adm_conj = thm "adm_conj"; |
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val adm_not_free = thm "adm_not_free"; |
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val adm_not_less = thm "adm_not_less"; |
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val adm_all = thm "adm_all"; |
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val adm_all2 = thm "adm_all2"; |
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val adm_subst = thm "adm_subst"; |
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val adm_UU_not_less = thm "adm_UU_not_less"; |
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val adm_not_UU = thm "adm_not_UU"; |
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val adm_eq = thm "adm_eq"; |
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val adm_disj_lemma1 = thm "adm_disj_lemma1"; |
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val adm_disj_lemma2 = thm "adm_disj_lemma2"; |
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val adm_disj_lemma3 = thm "adm_disj_lemma3"; |
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val adm_disj_lemma4 = thm "adm_disj_lemma4"; |
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val adm_disj_lemma5 = thm "adm_disj_lemma5"; |
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val adm_disj_lemma6 = thm "adm_disj_lemma6"; |
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val adm_disj_lemma7 = thm "adm_disj_lemma7"; |
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val adm_disj = thm "adm_disj"; |
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val adm_imp = thm "adm_imp"; |
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val adm_iff = thm "adm_iff"; |
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val adm_not_conj = thm "adm_not_conj"; |
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val adm_lemmas = [adm_not_free, adm_imp, adm_disj, adm_eq, adm_not_UU, |
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adm_UU_not_less, adm_all2, adm_not_less, adm_not_conj, adm_iff] |
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*} |
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298 |
|
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Moved admissibility definitions and lemmas to a separate theory
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|
299 |
end |
32c3b7188c28
Moved admissibility definitions and lemmas to a separate theory
huffman
parents:
diff
changeset
|
300 |