Nuprl Lemma : fo-logic-test1
∀x.(B x) 
⇒ (C x) 
⇒ ∃x.B x 
⇒ ∃x.C x
Proof
Definitions occuring in Statement : 
language1: language1{i:l}(D,A,B,C,P,Q,R,H.fml[D;A;B;C;P;Q;R;H])
, 
forsome: ∃x.P[x]
, 
forall: ∀x.P[x]
, 
implies: P 
⇒ Q
, 
apply: f a
Lemmas : 
forsome_wf, 
forall_wf
\mforall{}x.(B  x)  {}\mRightarrow{}  (C  x)  {}\mRightarrow{}  \mexists{}x.B  x  {}\mRightarrow{}  \mexists{}x.C  x
Date html generated:
2015_07_17-AM-07_52_39
Last ObjectModification:
2015_01_30-AM-01_13_06
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