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Theorem botel 32859
Description: An inference for bottom elimination. (Contributed by Giovanni Mascellani, 24-May-2019.)
Hypothesis
Ref Expression
botel.1 (𝜑 → ⊥)
Assertion
Ref Expression
botel (𝜑𝜓)

Proof of Theorem botel
StepHypRef Expression
1 botel.1 . 2 (𝜑 → ⊥)
2 falim 1488 . 2 (⊥ → 𝜓)
31, 2syl 17 1 (𝜑𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  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-tru 1477  df-fal 1480
This theorem is referenced by: (None)
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