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Theorem ad5ant125OLD 1482
Description: Obsolete version of ad5ant125 1481 as of 23-Jun-2022. (Contributed by Alan Sare, 17-Oct-2017.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
ad5ant.1 ((𝜑𝜓𝜒) → 𝜃)
Assertion
Ref Expression
ad5ant125OLD (((((𝜑𝜓) ∧ 𝜏) ∧ 𝜂) ∧ 𝜒) → 𝜃)

Proof of Theorem ad5ant125OLD
StepHypRef Expression
1 ad5ant.1 . . . . 5 ((𝜑𝜓𝜒) → 𝜃)
213exp 1149 . . . 4 (𝜑 → (𝜓 → (𝜒𝜃)))
322a1dd 51 . . 3 (𝜑 → (𝜓 → (𝜏 → (𝜂 → (𝜒𝜃)))))
43imp 396 . 2 ((𝜑𝜓) → (𝜏 → (𝜂 → (𝜒𝜃))))
54imp41 417 1 (((((𝜑𝜓) ∧ 𝜏) ∧ 𝜂) ∧ 𝜒) → 𝜃)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 385  w3a 1108
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 199  df-an 386  df-3an 1110
This theorem is referenced by: (None)
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