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Theorem xorbi12d 1377
Description: Equality property for XOR. (Contributed by Mario Carneiro, 4-Sep-2016.)
Hypotheses
Ref Expression
xor12d.1
xor12d.2
Assertion
Ref Expression
xorbi12d

Proof of Theorem xorbi12d
StepHypRef Expression
1 xor12d.1 . . . 4
2 xor12d.2 . . . 4
31, 2bibi12d 321 . . 3
43notbid 294 . 2
5 df-xor 1364 . 2
6 df-xor 1364 . 2
74, 5, 63bitr4g 288 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  <->wb 184  \/_wxo 1363
This theorem is referenced by:  hadbi123d  1449  cadbi123d  1450
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 1364
  Copyright terms: Public domain W3C validator