Theorem bibi1 687

Description: Theorem *4.86 of [WhiteheadRussell] p. 122.

Assertion

Ref	Expression
bibi1	|- ((ph <-> ps) -> ((ph <-> ch) <-> (ps <-> ch)))

Proof of Theorem bibi1

Step	Hyp	Ref	Expression
1		id 73	. 2 |- ((ph <-> ps) -> (ph <-> ps))
2	1	bibi1d 681	1 |- ((ph <-> ps) -> ((ph <-> ch) <-> (ps <-> ch)))

Syntax hints:   -> wi 3   <-> wb 163

This theorem is referenced by:  sbeqalb 2503  sbc3orgVD 16675  trsbcVD 16701

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 164  df-an 242

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