src/HOL/Tools/atp-inputs/par_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 partial types
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clause(
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forall([A, X, Y],
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or( not(hBOOL(hAPP(hAPP(fequal,X,tc_fun(A,tc_fun(A,tc_bool))),Y,tc_fun(A,tc_bool)))),
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    equal(X,Y))),
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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(X,Y)),
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    hBOOL(hAPP(hAPP(fequal,X,tc_fun(A,tc_fun(A,tc_bool))),Y,tc_fun(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(hAPP(F,hAPP(hAPP(hEXTENT,F,tc_fun(tc_fun(A,B),tc_fun(tc_fun(A,B),A))),G,tc_fun(tc_fun(A,B),A)),tc_fun(A,B)),hAPP(G,hAPP(hAPP(hEXTENT,F,tc_fun(tc_fun(A,B),tc_fun(tc_fun(A,B),A))),G,tc_fun(tc_fun(A,B),A)),tc_fun(A,B)))),
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    equal(F,G))),
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a11 ).