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Theorem jarr 106
Description: Elimination of a nested antecedent. Sometimes called Syll-Simp since it is a syllogism applied to ax-1 6 (Simplification). (Contributed by Wolf Lammen, 9-May-2013.)
Assertion
Ref Expression
jarr (((𝜑𝜓) → 𝜒) → (𝜓𝜒))

Proof of Theorem jarr
StepHypRef Expression
1 ax-1 6 . 2 (𝜓 → (𝜑𝜓))
21imim1i 63 1 (((𝜑𝜓) → 𝜒) → (𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  loolin  111  loowoz  112  minimp  1707  ax3h  41574
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