Theorem pm3.31 349

Description: Theorem *3.31 (Imp) of [WhiteheadRussell] p. 112.

Assertion

Ref	Expression
pm3.31	|- ((ph -> (ps -> ch)) -> ((ph /\ ps) -> ch))

Proof of Theorem pm3.31

Step	Hyp	Ref	Expression
1		impexp 347	. 2 |- (((ph /\ ps) -> ch) <-> (ph -> (ps -> ch)))
2	1	biimpr 152	1 |- ((ph -> (ps -> ch)) -> ((ph /\ ps) -> ch))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  ismonc 10620

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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