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Theorem bicom1 206
Description: Commutative law for the biconditional. (Contributed by Wolf Lammen, 10-Nov-2012.)
Assertion
Ref Expression
bicom1 ((𝜑𝜓) → (𝜓𝜑))

Proof of Theorem bicom1
StepHypRef Expression
1 biimpr 205 . 2 ((𝜑𝜓) → (𝜓𝜑))
2 biimp 200 . 2 ((𝜑𝜓) → (𝜑𝜓))
31, 2impbid 197 1 ((𝜑𝜓) → (𝜓𝜑))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 191
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 192
This theorem is referenced by:  bicom  207  bicomi  209  con3ALT  1016  rp-fakenanass  36399  frege55aid  36700  frege55lem2a  36702  bisaiaisb  39021  confun4  39050  confun5  39051
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