src/HOL/Tools/atp-inputs/full_helper1.tptp
changeset 20645 5e28b8f2cb52
parent 19492 29c6cba140da
equal deleted inserted replaced
20644:ff938c7b15e8 20645:5e28b8f2cb52
     1 %ID: $Id$
     1 %ID: $Id$
     2 %Author: Jia Meng, NICTA
     2 %Author: Jia Meng, NICTA
     3 %extensionality for full-types
     3 %functional equality and extensionality for full-types
     4 
     4 
     5 input_clause(a18,axiom,
     5 input_clause(a9,axiom,
       
     6 [--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)),
       
     7 ++equal(typeinfo(X,A),typeinfo(Y,A))]).
       
     8 
       
     9 input_clause(a10,axiom,
       
    10 [++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)),
       
    11 --equal(typeinfo(X,A),typeinfo(Y,A))]).
       
    12 
       
    13 input_clause(a11,axiom,
     6 [--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)),
    14 [--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)),
     7 ++equal(typeinfo(F,tc_fun(A,B)),typeinfo(G,tc_fun(A,B)))]).
    15 ++equal(typeinfo(F,tc_fun(A,B)),typeinfo(G,tc_fun(A,B)))]).