Theorem imp44 622

Description: An importation inference. (Contributed by NM, 26-Apr-1994.)

Hypothesis

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

Assertion

Ref	Expression
imp44	|- ( ( ph /\ ( ( ps /\ ch ) /\ th ) ) -> ta )

Proof of Theorem imp44

Step	Hyp	Ref	Expression
1		imp4.1	. . 3 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
2	1	imp4c 617	. 2 |- ( ph -> ( ( ( ps /\ ch ) /\ th ) -> ta ) )
3	2	imp 445	1 |- ( ( ph /\ ( ( ps /\ ch ) /\ th ) ) -> ta )

Syntax hints:   -> wi 4   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by:  imp511  628  rnelfm  21757  mdsymlem4  29265  mdsymlem5  29266  cvrat4  34729