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Theorem ad5ant12 1291
Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017.)
Hypothesis
Ref Expression
ad5ant12.1 ((𝜑𝜓) → 𝜒)
Assertion
Ref Expression
ad5ant12 (((((𝜑𝜓) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) → 𝜒)

Proof of Theorem ad5ant12
StepHypRef Expression
1 ad5ant12.1 . 2 ((𝜑𝜓) → 𝜒)
21ad3antrrr 761 1 (((((𝜑𝜓) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) → 𝜒)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 382
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
This theorem is referenced by:  hoidmvle  39273
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