Theorem imbi1 685

Description: Theorem *4.84 of [WhiteheadRussell] p. 122.

Assertion

Ref	Expression
imbi1	|- ((ph <-> ps) -> ((ph -> ch) <-> (ps -> ch)))

Proof of Theorem imbi1

Step	Hyp	Ref	Expression
1		id 73	. 2 |- ((ph <-> ps) -> (ph <-> ps))
2	1	imbi1d 675	1 |- ((ph <-> ps) -> ((ph -> ch) <-> (ps -> ch)))

Syntax hints:   -> wi 3   <-> wb 163

This theorem is referenced by:  3impexp 1286  efcn 8688  3impexpVD 16680  hbra2VD 16684  ancomsimpVD 16689

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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