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Theorem tsor2 34283
Description: A Tseitin axiom for logical disjunction, in deduction form. (Contributed by Giovanni Mascellani, 25-Mar-2018.)
Assertion
Ref Expression
tsor2 (𝜃 → (¬ 𝜑 ∨ (𝜑𝜓)))

Proof of Theorem tsor2
StepHypRef Expression
1 orc 856 . . 3 (𝜑 → (𝜑𝜓))
21imori 843 . 2 𝜑 ∨ (𝜑𝜓))
32a1i 11 1 (𝜃 → (¬ 𝜑 ∨ (𝜑𝜓)))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wo 836
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 837
This theorem is referenced by:  ts3or2  34289
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