Theorem 3exp2 849

Description: Exportation from right triple conjunction.

Hypothesis

Ref	Expression
3exp2.1	|- ((ph /\ (ps /\ ch /\ th)) -> ta)

Assertion

Ref	Expression
3exp2	|- (ph -> (ps -> (ch -> (th -> ta))))

Proof of Theorem 3exp2

Step	Hyp	Ref	Expression
1		3exp2.1	. . 3 |- ((ph /\ (ps /\ ch /\ th)) -> ta)
2	1	ex 373	. 2 |- (ph -> ((ps /\ ch /\ th) -> ta))
3	2	3expd 848	1 |- (ph -> (ps -> (ch -> (th -> ta))))

Syntax hints:   -> wi 3   /\ wa 223   /\ w3a 773

This theorem is referenced by:  po2nr 2838  cau3ir 6852  sncld 7726  lmuni 7886  xpcn 7910  grprcan 7997  grpinveu 7998  grpid 7999  grpasscan1OLD 8008  grpasscan1 8012  hmeogrp 10425  cnfilca 10451

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225  df-3an 775

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