Theorem pm5.44 689

Description: Theorem *5.44 of [WhiteheadRussell] p. 125.

Assertion

Ref	Expression
pm5.44	|- ((ph -> ps) -> ((ph -> ch) <-> (ph -> (ps /\ ch))))

Proof of Theorem pm5.44

Step	Hyp	Ref	Expression
1		jcab 600	. 2 |- ((ph -> (ps /\ ch)) <-> ((ph -> ps) /\ (ph -> ch)))
2	1	baibr 688	1 |- ((ph -> ps) -> ((ph -> ch) <-> (ph -> (ps /\ ch))))

Syntax hints:   -> wi 3   <-> wb 146   /\ wa 223

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-or 224  df-an 225

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