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Theorem ad5antlr 770
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 768 . 2 (((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) → 𝜓)
32adantr 481 1 ((((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 384
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 386
This theorem is referenced by:  ad6antlr  772  restmetu  22356  foresf1o  29315  fimaproj  29874  locfinreflem  29881  pstmxmet  29914  mblfinlem3  33419  itg2gt0cn  33436  pell1234qrmulcl  37238  suplesup  39368  limclner  39683  bgoldbtbnd  41462
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