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Theorem xorneg1 1361
Description: \/_ is negated under negation of one argument. (Contributed by Mario Carneiro, 4-Sep-2016.)
Assertion
Ref Expression
xorneg1

Proof of Theorem xorneg1
StepHypRef Expression
1 df-xor 1352 . 2
2 nbbn 358 . . 3
32con2bii 332 . 2
4 xnor 1353 . 2
51, 3, 43bitr2i 273 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  <->wb 184  \/_wxo 1351
This theorem is referenced by:  xorneg2  1362  xorneg  1363
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 185  df-xor 1352
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