NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  simp-8r GIF version

Theorem simp-8r 751
Description: Simplification of a conjunction. (Contributed by Mario Carneiro, 4-Jan-2017.)
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-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by:  simp-9r  753
  Copyright terms: Public domain W3C validator