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Theorem ad8antr 787
Description: Deduction adding 8 conjuncts to antecedent. (Contributed by Mario Carneiro, 4-Jan-2017.) (Proof shortened by Wolf Lammen, 5-Apr-2022.)
Hypothesis
Ref Expression
ad2ant.1 (𝜑𝜓)
Assertion
Ref Expression
ad8antr (((((((((𝜑𝜒) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) ∧ 𝜎) ∧ 𝜌) ∧ 𝜇) → 𝜓)

Proof of Theorem ad8antr
StepHypRef Expression
1 ad2ant.1 . . 3 (𝜑𝜓)
21adantr 472 . 2 ((𝜑𝜒) → 𝜓)
32ad7antr 783 1 (((((((((𝜑𝜒) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) ∧ 𝜎) ∧ 𝜌) ∧ 𝜇) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 383
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
This theorem is referenced by:  ad9antr  791  ad9antrOLD  792  ad9antlr  793  simp-8l  841  simp-9r  847  legso  25714  miriso  25785  midexlem  25807  opphl  25866  trgcopy  25916  inaghl  25951  qtophaus  30233  afsval  31079  hoidmvle  41338  smfmullem3  41524
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