Theorem imp42 287

Description: An importation inference.

Hypothesis

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

Assertion

Ref	Expression
imp42	|- (((ph /\ (ps /\ ch)) /\ th) -> ta )

Proof of Theorem imp42

Step	Hyp	Ref	Expression
1		imp4.1	. . 3 |- (ph -> (ps -> (ch -> (th -> ta ))))
2	1	imp32 281	. 2 |- ((ph /\ (ps /\ ch)) -> (th -> ta ))
3	2	imp 277	1 |- (((ph /\ (ps /\ ch)) /\ th) -> ta )

Syntax hints:   -> wi 2   /\ wa 196

This theorem is referenced by:  adantlrl 314  adantlrr 315  supmo 2156  mapenlem2 3385  ltexprlem7 3942  reclem3pr 3952

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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