Theorem orbi1 682

Description: Theorem *4.37 of [WhiteheadRussell] p. 118.

Assertion

Ref	Expression
orbi1	|- ((ph <-> ps) -> ((ph \/ ch) <-> (ps \/ ch)))

Proof of Theorem orbi1

Step	Hyp	Ref	Expression
1		id 73	. 2 |- ((ph <-> ps) -> (ph <-> ps))
2	1	orbi1d 677	1 |- ((ph <-> ps) -> ((ph \/ ch) <-> (ps \/ ch)))

Syntax hints:   -> wi 3   <-> wb 163   \/ wo 239

This theorem is referenced by:  orbi1r 1282  orbi1rVD 16672  sbc3orgVD 16675

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-or 241  df-an 242

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