Theorem imp4d 365

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 362	. 2 |- (ph -> (ps -> ((ch /\ th) -> ta)))
3	2	imp3a 359	1 |- (ph -> ((ps /\ (ch /\ th)) -> ta))

Syntax hints:   -> wi 3   /\ wa 221

This theorem is referenced by:  imp45 370  tfrlem9 4220  uzind 6376  sqrlem20 6893  facdiv 7145  caucvglem6 7365  cvgratlem2 7456

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 145  df-an 223

Copyright terms: Public domain