NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  ad10antlr GIF version

Theorem ad10antlr 725
Description: Deduction adding 10 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017.)
Hypothesis
Ref Expression
ad2ant.1 (φψ)
Assertion
Ref Expression
ad10antlr (((((((((((χ φ) θ) τ) η) ζ) σ) ρ) μ) λ) κ) → ψ)

Proof of Theorem ad10antlr
StepHypRef Expression
1 ad2ant.1 . . 3 (φψ)
21ad9antlr 723 . 2 ((((((((((χ φ) θ) τ) η) ζ) σ) ρ) μ) λ) → ψ)
32adantr 451 1 (((((((((((χ φ) θ) τ) η) ζ) σ) ρ) μ) λ) κ) → 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: (None)
  Copyright terms: Public domain W3C validator