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Theorem xorbi2d 1269
Description: Deduction joining an equivalence and a left operand to form equivalence of exclusive-or. (Contributed by Jim Kingdon, 7-Oct-2018.)
Hypothesis
Ref Expression
xorbid.1
Assertion
Ref Expression
xorbi2d  \/_  \/_

Proof of Theorem xorbi2d
StepHypRef Expression
1 xorbid.1 . . . 4
21orbi2d 703 . . 3
31anbi2d 437 . . . 4
43notbid 591 . . 3
52, 4anbi12d 442 . 2
6 df-xor 1266 . 2  \/_
7 df-xor 1266 . 2  \/_
85, 6, 73bitr4g 212 1  \/_  \/_
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4   wa 97   wb 98   wo 628    \/_ wxo 1265
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-in1 544  ax-in2 545  ax-io 629
This theorem depends on definitions:  df-bi 110  df-xor 1266
This theorem is referenced by:  xorbi12d  1271
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