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Theorem tsor3 33615
Description: A Tseitin axiom for logical disjunction, in deduction form. (Contributed by Giovanni Mascellani, 25-Mar-2018.)
Assertion
Ref Expression
tsor3 (𝜃 → (¬ 𝜓 ∨ (𝜑𝜓)))

Proof of Theorem tsor3
StepHypRef Expression
1 olc 399 . . 3 (𝜓 → (𝜑𝜓))
21imori 429 . 2 𝜓 ∨ (𝜑𝜓))
32a1i 11 1 (𝜃 → (¬ 𝜓 ∨ (𝜑𝜓)))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wo 383
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
This theorem is referenced by:  ts3or3  33621
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