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Theorem ad5antlr 777
Description: Deduction adding 5 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
ad5antlr ((((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) → 𝜓)

Proof of Theorem ad5antlr
StepHypRef Expression
1 ad2ant.1 . . 3 (𝜑𝜓)
21adantl 473 . 2 ((𝜒𝜑) → 𝜓)
32ad4antr 771 1 ((((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) → 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:  ad6antlrOLD  782  restmetu  22596  foresf1o  29671  fimaproj  30230  locfinreflem  30237  pstmxmet  30270  mblfinlem3  33779  itg2gt0cn  33796  pell1234qrmulcl  37939  suplesup  40071  limclner  40404  bgoldbtbnd  42225
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