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Theorem xoror 1468
Description: XOR implies OR. (Contributed by BJ, 19-Apr-2019.)
Assertion
Ref Expression
xoror ((𝜑𝜓) → (𝜑𝜓))

Proof of Theorem xoror
StepHypRef Expression
1 xor2 1467 . 2 ((𝜑𝜓) ↔ ((𝜑𝜓) ∧ ¬ (𝜑𝜓)))
21simplbi 476 1 ((𝜑𝜓) → (𝜑𝜓))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wo 383  wa 384  wxo 1461
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 197  df-or 385  df-an 386  df-xor 1462
This theorem is referenced by:  mtpxor  1693
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