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Theorem rp-simp2-frege 41370
Description: Simplification of triple conjunction. Compare with simp2 1136. (Contributed by RP, 24-Dec-2019.) (Proof modification is discouraged.)
Assertion
Ref Expression
rp-simp2-frege (𝜑 → (𝜓 → (𝜒𝜓)))

Proof of Theorem rp-simp2-frege
StepHypRef Expression
1 ax-frege1 41368 . 2 (𝜓 → (𝜒𝜓))
2 ax-frege1 41368 . 2 ((𝜓 → (𝜒𝜓)) → (𝜑 → (𝜓 → (𝜒𝜓))))
31, 2ax-mp 5 1 (𝜑 → (𝜓 → (𝜒𝜓)))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-frege1 41368
This theorem is referenced by:  rp-simp2  41371  rp-frege24  41375  rp-4frege  41380
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