perm filename W0.AX[226,JMC] blob
sn#005427 filedate 1972-07-26 generic text, type T, neo UTF8
00100 GIVEAX(SI1,SCWORLD W0);
00200
00300 GIVEAX(SI2,I0 ε BASIS W0);
00400
00500 GIVEAX(SI3,(∀ X)(X ε TERMS(TORD I0,W0)
00600 ⊃ SUCC X ε TERMS(TORD I0,W0)
00700 ∧ (∀ S)(S ε STATES W0 ⊃
00800 C(SUCC X,S) = SUCC C(X,S))));
00900
01000 GIVEAX(SI4,(∀ X)(X ε TERMS(TORD I0,W0)
01100 ⊃ PRED X ε TERMS(TORD I0,W0)
01200 ∧ (∀ S)(S ε STATES W0 ⊃
01300 C(PRED X,S) = PRED C(X,S))));
01400
01500 GIVEAX(SI5,(∀ X)(∀ Y)(X ε TERMS(TORD I0,W0)
01600 ∧ Y ε TERMS(TORD I0,W0)
01700 ⊃
01800 INTEQ(X,Y) ε TERMS(TORD TV,W0)
01900 ∧ (∀ S)(S ε STATES W0 ⊃
02000 C(INTEQ(X,Y),S) = INTEQ(C(X,S),C(Y,S)))));
00900 END;