Theorem pm3.45 560

Description: Theorem *3.45 (Fact) of [WhiteheadRussell] p. 113.

Assertion

Ref	Expression
pm3.45	|- ((ph -> ps) -> ((ph /\ ch) -> (ps /\ ch)))

Proof of Theorem pm3.45

Step	Hyp	Ref	Expression
1		id 59	. 2 |- ((ph -> ps) -> (ph -> ps))
2	1	anim1d 558	1 |- ((ph -> ps) -> ((ph /\ ch) -> (ps /\ ch)))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  rabss2 2119  ssrin 2224

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