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Theorem ad8antr 739
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 484 . 2 ((𝜑𝜒) → 𝜓)
32ad7antr 737 1 (((((((((𝜑𝜒) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) ∧ 𝜎) ∧ 𝜌) ∧ 𝜇) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 399
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 210  df-an 400
This theorem is referenced by:  ad9antr  741  ad9antlr  742  simp-8l  790  legso  26396  miriso  26467  midexlem  26489  opphl  26551  trgcopy  26601  inaghl  26642  cyc3conja  30852  lbsdiflsp0  31110  dimkerim  31111  fedgmul  31115  qtophaus  31189  zarcmplem  31234  afsval  32050  dffltz  39602  hoidmvle  43226  smfmullem3  43412
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