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Theorem orfa1 32856
Description: Add a contradicting disjunct to an antecedent. (Contributed by Giovanni Mascellani, 15-Sep-2017.)
Hypothesis
Ref Expression
orfa1.1 (𝜑𝜓)
Assertion
Ref Expression
orfa1 ((𝜑 ∨ ⊥) → 𝜓)

Proof of Theorem orfa1
StepHypRef Expression
1 orfa1.1 . 2 (𝜑𝜓)
2 falim 1488 . 2 (⊥ → 𝜓)
31, 2jaoi 392 1 ((𝜑 ∨ ⊥) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 381  wfal 1479
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 195  df-or 383  df-tru 1477  df-fal 1480
This theorem is referenced by: (None)
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