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Theorem rp-simp2 40004
Description: Simplification of triple conjunction. Identical to simp2 1131. (Contributed by RP, 24-Dec-2019.) (Proof modification is discouraged.)
Assertion
Ref Expression
rp-simp2 ((𝜑𝜓𝜒) → 𝜓)

Proof of Theorem rp-simp2
StepHypRef Expression
1 rp-simp2-frege 40003 . 2 (𝜑 → (𝜓 → (𝜒𝜓)))
213imp 1105 1 ((𝜑𝜓𝜒) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1081
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-frege1 40001
This theorem depends on definitions:  df-bi 208  df-an 397  df-3an 1083
This theorem is referenced by:  ntrclsk3  40285
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