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Theorem ancomsimp 1370
Description: Closed form of ancoms 264. (Contributed by Alan Sare, 31-Dec-2011.)
Assertion
Ref Expression
ancomsimp (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))

Proof of Theorem ancomsimp
StepHypRef Expression
1 ancom 262 . 2 ((𝜑𝜓) ↔ (𝜓𝜑))
21imbi1i 236 1 (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 102  wb 103
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  ralcomf  2516
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