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Theorem imbi1 313
Description: Theorem *4.84 of [WhiteheadRussell] p. 122. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
imbi1 ((φψ) → ((φχ) ↔ (ψχ)))

Proof of Theorem imbi1
StepHypRef Expression
1 id 19 . 2 ((φψ) → (φψ))
21imbi1d 308 1 ((φψ) → ((φχ) ↔ (ψχ)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 176
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177
This theorem is referenced by:  imbi1i  315
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