author | traytel |
Tue, 17 Dec 2013 15:56:57 +0100 | |
changeset 54794 | e279c2ceb54c |
parent 53032 | 953534445ab6 |
child 55023 | 38db7814481d |
permissions | -rw-r--r-- |
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(* Title: HOL/BNF/Tools/bnf_lfp_util.ML |
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Author: Dmitriy Traytel, TU Muenchen |
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Author: Jasmin Blanchette, TU Muenchen |
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Copyright 2012 |
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Library for the datatype construction. |
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*) |
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signature BNF_LFP_UTIL = |
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sig |
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val HOL_arg_cong: cterm -> thm |
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|
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val mk_bij_betw: term -> term -> term -> term |
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val mk_cardSuc: term -> term |
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val mk_inver: term -> term -> term -> term |
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val mk_not_empty: term -> term |
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val mk_not_eq: term -> term -> term |
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val mk_rapp: term -> typ -> term |
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val mk_relChain: term -> term -> term |
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val mk_underS: term -> term |
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val mk_worec: term -> term -> term |
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end; |
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|
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structure BNF_LFP_Util : BNF_LFP_UTIL = |
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struct |
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|
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open BNF_Util |
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|
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fun HOL_arg_cong ct = Drule.instantiate' |
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(map SOME (Thm.dest_ctyp (Thm.ctyp_of_term ct))) [NONE, NONE, SOME ct] arg_cong; |
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(*reverse application*) |
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fun mk_rapp arg T = Term.absdummy (fastype_of arg --> T) (Bound 0 $ arg); |
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fun mk_underS r = |
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let val T = fst (dest_relT (fastype_of r)); |
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in Const (@{const_name rel.underS}, mk_relT (T, T) --> T --> HOLogic.mk_setT T) $ r end; |
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fun mk_worec r f = |
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let val (A, AB) = apfst domain_type (dest_funT (fastype_of f)); |
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in Const (@{const_name wo_rel.worec}, mk_relT (A, A) --> (AB --> AB) --> AB) $ r $ f end; |
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fun mk_relChain r f = |
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let val (A, AB) = `domain_type (fastype_of f); |
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in Const (@{const_name relChain}, mk_relT (A, A) --> AB --> HOLogic.boolT) $ r $ f end; |
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fun mk_cardSuc r = |
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let val T = fst (dest_relT (fastype_of r)); |
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in Const (@{const_name cardSuc}, mk_relT (T, T) --> mk_relT (`I (HOLogic.mk_setT T))) $ r end; |
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fun mk_bij_betw f A B = |
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Const (@{const_name bij_betw}, |
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fastype_of f --> fastype_of A --> fastype_of B --> HOLogic.boolT) $ f $ A $ B; |
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fun mk_inver f g A = |
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Const (@{const_name inver}, fastype_of f --> fastype_of g --> fastype_of A --> HOLogic.boolT) $ |
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f $ g $ A; |
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fun mk_not_eq x y = HOLogic.mk_not (HOLogic.mk_eq (x, y)); |
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fun mk_not_empty B = mk_not_eq B (HOLogic.mk_set (HOLogic.dest_setT (fastype_of B)) []); |
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end; |