Nuprl Lemma : ancestral-logic-example2-ext
∀x,y:Dom.  (TC(λa,b.TC(λi,j.P i j)(a,b))(x,y) 
⇒ TC(λa,b.P a b)(x,y))
Proof
Definitions occuring in Statement : 
TC: TC(λx,y.F[x; y])(a,b)
, 
language1: language1{i:l}(D,A,B,C,P,Q,R,H.fml[D;A;B;C;P;Q;R;H])
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
apply: f a
Lemmas : 
ancestral-logic-example2
\mforall{}x,y:Dom.    (TC(\mlambda{}a,b.TC(\mlambda{}i,j.P  i  j)(a,b))(x,y)  {}\mRightarrow{}  TC(\mlambda{}a,b.P  a  b)(x,y))
Date html generated:
2015_07_17-AM-07_53_03
Last ObjectModification:
2015_01_30-AM-01_13_08
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