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Theorem ad4antlr 495
Description: Deduction adding 4 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017.)
Hypothesis
Ref Expression
ad2ant.1 (𝜑𝜓)
Assertion
Ref Expression
ad4antlr (((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) → 𝜓)

Proof of Theorem ad4antlr
StepHypRef Expression
1 ad2ant.1 . . 3 (𝜑𝜓)
21ad3antlr 493 . 2 ((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) → 𝜓)
32adantr 276 1 (((((𝜒𝜑) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 104
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108
This theorem is referenced by:  ad5antlr  497  ctm  7102  suplocexprlemub  7713  suplocexprlemlub  7714  maxabslemval  11201  xrmaxleim  11236  xrmaxiflemval  11242  fsumconst  11446
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