Theorem imp44 371

Description: An importation inference.

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 366	. 2 |- (ph -> (((ps /\ ch) /\ th) -> ta))
3	2	imp 350	1 |- ((ph /\ ((ps /\ ch) /\ th)) -> ta)

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  adantrll 400  adantrlr 401  climsqueeze 7093  climsqueeze2 7094  cvgratlem1 7202  iscau3 7900  iscau4 7902  mdsymlem4 10289  mdsymlem5 10290

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