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Theorem ad7antr 718
Description: Deduction adding 7 conjuncts to antecedent. (Contributed by Mario Carneiro, 4-Jan-2017.)
Hypothesis
Ref Expression
ad2ant.1 (φψ)
Assertion
Ref Expression
ad7antr ((((((((φ χ) θ) τ) η) ζ) σ) ρ) → ψ)

Proof of Theorem ad7antr
StepHypRef Expression
1 ad2ant.1 . . 3 (φψ)
21ad6antr 716 . 2 (((((((φ χ) θ) τ) η) ζ) σ) → ψ)
32adantr 451 1 ((((((((φ χ) θ) τ) η) ζ) σ) ρ) → ψ)
Colors of variables: wff setvar class
Syntax hints:  wi 4   wa 358
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 177  df-an 360
This theorem is referenced by:  ad8antr  720
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