Theorem imp4c 284

Description: An importation inference.

Hypothesis

Ref	Expression
imp4.1	|- (ph -> (ps -> (ch -> (th -> ta ))))

Assertion

Ref	Expression
imp4c	|- (ph -> (((ps /\ ch) /\ th) -> ta ))

Proof of Theorem imp4c

Step	Hyp	Ref	Expression
1		imp4.1	. . 3 |- (ph -> (ps -> (ch -> (th -> ta ))))
2	1	imp3a 279	. 2 |- (ph -> ((ps /\ ch) -> (th -> ta )))
3	2	imp3a 279	1 |- (ph -> (((ps /\ ch) /\ th) -> ta ))

Syntax hints:   -> wi 2   /\ wa 196

This theorem is referenced by:  imp44 289  omordi 3164  reclem4pr 3953  mulgt0sr 4008  spanun 5450  elspansn5t 5479  atcvat3 5774  mdsymlem5 5780  sumdmdlem 5786

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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