Theorem pm5.35 682

Description: Theorem *5.35 of [WhiteheadRussell] p. 125.

Assertion

Ref	Expression
pm5.35	|- (((ph -> ps) /\ (ph -> ch)) -> (ph -> (ps <-> ch)))

Proof of Theorem pm5.35

Step	Hyp	Ref	Expression
1		pm5.1 676	. 2 |- (((ph -> ps) /\ (ph -> ch)) -> ((ph -> ps) <-> (ph -> ch)))
2	1	pm5.74rd 588	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-an 225

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