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Theorem simp-8r 751
Description: Simplification of a conjunction. (Contributed by Mario Carneiro, 4-Jan-2017.)
Assertion
Ref Expression
simp-8r (((((((((φ ψ) χ) θ) τ) η) ζ) σ) ρ) → ψ)

Proof of Theorem simp-8r
StepHypRef Expression
1 simp-7r 749 . 2 ((((((((φ ψ) χ) θ) τ) η) ζ) σ) → ψ)
21adantr 451 1 (((((((((φ ψ) 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:  simp-9r  753
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