Theorem 3exp2 853

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 852	1 |- (ph -> (ps -> (ch -> (th -> ta))))

Syntax hints:   -> wi 3   /\ wa 223   /\ w3a 777

This theorem is referenced by:  po2nr 2853  cau3ir 6915  sncld 7784  bl2in 7840  lmuni 7948  xpcn 7973  grprcan 8059  grpinveu 8060  grpid 8061  grpasscan1 8073  hmeogrp 10524  cnfilca 10562

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 779

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