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Theorem xnor 1463
Description: Two ways to write XNOR. (Contributed by Mario Carneiro, 4-Sep-2016.)
Assertion
Ref Expression
xnor ((𝜑𝜓) ↔ ¬ (𝜑𝜓))

Proof of Theorem xnor
StepHypRef Expression
1 df-xor 1462 . 2 ((𝜑𝜓) ↔ ¬ (𝜑𝜓))
21con2bii 347 1 ((𝜑𝜓) ↔ ¬ (𝜑𝜓))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wb 196  wxo 1461
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 197  df-xor 1462
This theorem is referenced by:  xorass  1465  xorneg2  1471  hadbi  1534  had0  1540  elsymdifxor  3834  tsxo1  33615  tsxo2  33616
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