src/HOL/Tools/atp-inputs/full_helper1.dfg
author mengj
Wed, 20 Sep 2006 13:56:39 +0200
changeset 20645 5e28b8f2cb52
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Moved the functional equality axioms to helper1 files.
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%ID: $Id$
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%Author: Jia Meng, NICTA
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%functional equality and extensionality for full-types
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clause(
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forall([A, X, Y],
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or( not(hBOOL(typeinfo(hAPP(typeinfo(hAPP(typeinfo(fequal,tc_fun(A,tc_fun(A,tc_bool))),typeinfo(X,A)),tc_fun(A,tc_bool)),typeinfo(Y,A)),tc_bool))),
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    equal(typeinfo(X,A),typeinfo(Y,A)))),
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a9 ).
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clause(
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forall([A, X, Y],
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or( not(equal(typeinfo(X,A),typeinfo(Y,A))),
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    hBOOL(typeinfo(hAPP(typeinfo(hAPP(typeinfo(fequal,tc_fun(A,tc_fun(A,tc_bool))),typeinfo(X,A)),tc_fun(A,tc_bool)),typeinfo(Y,A)),tc_bool)))),
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a10 ).
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clause(
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forall([A, B, F, G],
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or( not(equal(typeinfo(hAPP(typeinfo(F,tc_fun(A,B)),typeinfo(hAPP(typeinfo(hAPP(typeinfo(hEXTENT,tc_fun(tc_fun(A,B),tc_fun(tc_fun(A,B),A))),typeinfo(F,tc_fun(A,B))),tc_fun(tc_fun(A,B),A)),typeinfo(G,tc_fun(A,B))),A)),B),typeinfo(hAPP(typeinfo(G,tc_fun(A,B)),typeinfo(hAPP(typeinfo(hAPP(typeinfo(hEXTENT,tc_fun(tc_fun(A,B),tc_fun(tc_fun(A,B),A))),typeinfo(F,tc_fun(A,B))),tc_fun(tc_fun(A,B),A)),typeinfo(G,tc_fun(A,B))),A)),B))),
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    equal(typeinfo(F,tc_fun(A,B)),typeinfo(G,tc_fun(A,B))))),
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a11 ).