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Theorem pm3.2an3OLD 1233
Description: Obsolete proof of pm3.2an3 1232 as of 24-Apr-2021. (Contributed by Alan Sare, 24-Oct-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
pm3.2an3OLD (𝜑 → (𝜓 → (𝜒 → (𝜑𝜓𝜒))))

Proof of Theorem pm3.2an3OLD
StepHypRef Expression
1 pm3.2 461 . . 3 ((𝜑𝜓) → (𝜒 → ((𝜑𝜓) ∧ 𝜒)))
21ex 448 . 2 (𝜑 → (𝜓 → (𝜒 → ((𝜑𝜓) ∧ 𝜒))))
3 df-3an 1032 . . 3 ((𝜑𝜓𝜒) ↔ ((𝜑𝜓) ∧ 𝜒))
43bicomi 212 . 2 (((𝜑𝜓) ∧ 𝜒) ↔ (𝜑𝜓𝜒))
52, 4syl8ib 244 1 (𝜑 → (𝜓 → (𝜒 → (𝜑𝜓𝜒))))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 382  w3a 1030
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 195  df-an 384  df-3an 1032
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator