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Theorem ad4ant124OLD 1181
Description: Obsolete version of ad4ant124 1180 as of 14-Apr-2022. (Contributed by Alan Sare, 17-Oct-2017.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
ad4ant3.1 ((𝜑𝜓𝜒) → 𝜃)
Assertion
Ref Expression
ad4ant124OLD ((((𝜑𝜓) ∧ 𝜏) ∧ 𝜒) → 𝜃)

Proof of Theorem ad4ant124OLD
StepHypRef Expression
1 ad4ant3.1 . . . 4 ((𝜑𝜓𝜒) → 𝜃)
213exp 1113 . . 3 (𝜑 → (𝜓 → (𝜒𝜃)))
32a1dd 50 . 2 (𝜑 → (𝜓 → (𝜏 → (𝜒𝜃))))
43imp41 620 1 ((((𝜑𝜓) ∧ 𝜏) ∧ 𝜒) → 𝜃)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 383  w3a 1072
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 197  df-an 385  df-3an 1074
This theorem is referenced by: (None)
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