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Theorem xorbi12d 1271
Description: Deduction joining two equivalences to form equivalence of exclusive-or. (Contributed by Jim Kingdon, 7-Oct-2018.)
Hypotheses
Ref Expression
xorbi12d.1
xorbi12d.2
Assertion
Ref Expression
xorbi12d  \/_  \/_

Proof of Theorem xorbi12d
StepHypRef Expression
1 xorbi12d.1 . . 3
21xorbi1d 1270 . 2  \/_  \/_
3 xorbi12d.2 . . 3
43xorbi2d 1269 . 2  \/_  \/_
52, 4bitrd 177 1  \/_  \/_
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98    \/_ 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:  anxordi  1288  rpnegap  8390
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