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Theorem tsim2 35562
Description: A Tseitin axiom for logical implication, in deduction form. (Contributed by Giovanni Mascellani, 24-Mar-2018.)
Assertion
Ref Expression
tsim2 (𝜃 → (𝜑 ∨ (𝜑𝜓)))

Proof of Theorem tsim2
StepHypRef Expression
1 curryax 891 . 2 (𝜑 ∨ (𝜑𝜓))
21a1i 11 1 (𝜃 → (𝜑 ∨ (𝜑𝜓)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 844
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 210  df-or 845
This theorem is referenced by:  mpobi123f  35593  ac6s6  35603
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