Theorem anbi1 619

Description: Theorem *4.36 of [WhiteheadRussell] p. 118.

Assertion

Ref	Expression
anbi1	|- ((ph <-> ps) -> ((ph /\ ch) <-> (ps /\ ch)))

Proof of Theorem anbi1

Step	Hyp	Ref	Expression
1		id 59	. 2 |- ((ph <-> ps) -> (ph <-> ps))
2	1	anbi1d 615	1 |- ((ph <-> ps) -> ((ph /\ ch) <-> (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

Copyright terms: Public domain