Theorem imp4d 367

Description: An importation inference.

Hypothesis

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

Assertion

Ref	Expression
imp4d	|- (ph -> ((ps /\ (ch /\ th)) -> ta))

Proof of Theorem imp4d

Step	Hyp	Ref	Expression
1		imp4.1	. . 3 |- (ph -> (ps -> (ch -> (th -> ta))))
2	1	imp4a 364	. 2 |- (ph -> (ps -> ((ch /\ th) -> ta)))
3	2	imp3a 361	1 |- (ph -> ((ps /\ (ch /\ th)) -> ta))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  imp45 372  tfrlem9 3925  uzind 6207  sqrlem20 6693  facdivt 6942  caucvglem6 7162  cvgratlem2 7251

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

Copyright terms: Public domain