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Theorem pm3.2an3 1337
Description: Version of pm3.2 473 for a triple conjunction. (Contributed by Alan Sare, 24-Oct-2011.) (Proof shortened by Kyle Wyonch, 24-Apr-2021.) (Proof shortened by Wolf Lammen, 21-Jun-2022.)
Assertion
Ref Expression
pm3.2an3 (𝜑 → (𝜓 → (𝜒 → (𝜑𝜓𝜒))))

Proof of Theorem pm3.2an3
StepHypRef Expression
1 id 22 . 2 ((𝜑𝜓𝜒) → (𝜑𝜓𝜒))
213exp 1116 1 (𝜑 → (𝜓 → (𝜒 → (𝜑𝜓𝜒))))
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1084
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-an 400  df-3an 1086
This theorem is referenced by:  tratrb  41229  19.21a3con13vVD  41545  tratrbVD  41554
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