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Theorem ad5antlr 767
Description: Deduction adding 5 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017.)
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)
21ad4antlr 765 . 2 (((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) → 𝜓)
32adantr 480 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 196  df-an 385
This theorem is referenced by:  ad6antlr  769  restmetu  22185  usg2spot2nb  26592  foresf1o  28727  fimaproj  29228  locfinreflem  29235  pstmxmet  29268  mblfinlem3  32618  itg2gt0cn  32635  pell1234qrmulcl  36437  suplesup  38496  limclner  38718  bgoldbtbnd  40225
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