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Theorem anabsi6 855
Description: Absorption of antecedent into conjunction. (Contributed by NM, 14-Aug-2000.)
Hypothesis
Ref Expression
anabsi6.1 (𝜑 → ((𝜓𝜑) → 𝜒))
Assertion
Ref Expression
anabsi6 ((𝜑𝜓) → 𝜒)

Proof of Theorem anabsi6
StepHypRef Expression
1 anabsi6.1 . . 3 (𝜑 → ((𝜓𝜑) → 𝜒))
21ancomsd 469 . 2 (𝜑 → ((𝜑𝜓) → 𝜒))
32anabsi5 854 1 ((𝜑𝜓) → 𝜒)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 383
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 196  df-an 385
This theorem is referenced by:  anabsi7  856  pjnormssi  28205
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