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Theorem ad6antlr 733
Description: Deduction adding 6 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017.) (Proof shortened by Wolf Lammen, 5-Apr-2022.)
Hypothesis
Ref Expression
ad2ant.1 (𝜑𝜓)
Assertion
Ref Expression
ad6antlr (((((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) ∧ 𝜎) → 𝜓)

Proof of Theorem ad6antlr
StepHypRef Expression
1 ad2ant.1 . . 3 (𝜑𝜓)
21adantl 482 . 2 ((𝜒𝜑) → 𝜓)
32ad5antr 730 1 (((((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) ∧ 𝜎) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 396
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 208  df-an 397
This theorem is referenced by:  simp-6r  784  lbsdiflsp0  30921  locfinreflem  31003  heicant  34808  itg2gt0cn  34828  ftc1anclem7  34854  dffltz  39149  isomuspgrlem1  43869
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