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Theorem simplbi2comg 1373
Description: Implication form of simplbi2com 1374. (Contributed by Alan Sare, 22-Jul-2012.)
Assertion
Ref Expression
simplbi2comg ((𝜑 ↔ (𝜓𝜒)) → (𝜒 → (𝜓𝜑)))

Proof of Theorem simplbi2comg
StepHypRef Expression
1 bi2 128 . 2 ((𝜑 ↔ (𝜓𝜒)) → ((𝜓𝜒) → 𝜑))
21expcomd 1371 1 ((𝜑 ↔ (𝜓𝜒)) → (𝜒 → (𝜓𝜑)))
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: (None)
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