Theorem exp4c 297

Description: An exportation inference.

Hypothesis

Ref	Expression
exp4c.1	|- (ph -> (((ps /\ ch) /\ th) -> ta ))

Assertion

Ref	Expression
exp4c	|- (ph -> (ps -> (ch -> (th -> ta ))))

Proof of Theorem exp4c

Step	Hyp	Ref	Expression
1		exp4c.1	. . 3 |- (ph -> (((ps /\ ch) /\ th) -> ta ))
2	1	exp3a 292	. 2 |- (ph -> ((ps /\ ch) -> (th -> ta )))
3	2	exp3a 292	1 |- (ph -> (ps -> (ch -> (th -> ta ))))

Syntax hints:   -> wi 2   /\ wa 196

This theorem is referenced by:  tfrlem1 2949  oawordri 3152  oaordex 3160  pssnn 3428  aceq6b 3565  prlem934 3933  prlem936b 3948  atcvatlem 5770

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

This theorem depends on definitions:  df-bi 128  df-an 198

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