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Theorem xor2dc 1278
Description: Two ways to express "exclusive or" between decidable propositions. (Contributed by Jim Kingdon, 17-Apr-2018.)
Assertion
Ref Expression
xor2dc DECID DECID

Proof of Theorem xor2dc
StepHypRef Expression
1 xor3dc 1275 . . . 4 DECID DECID
21imp 115 . . 3 DECID DECID
3 pm5.17dc 809 . . . 4 DECID
43adantl 262 . . 3 DECID DECID
52, 4bitr4d 180 . 2 DECID DECID
65ex 108 1 DECID DECID
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4   wa 97   wb 98   wo 628  DECID wdc 741
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-dc 742
This theorem is referenced by:  xornbidc  1279
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