Metamath Proof Explorer


Theorem ad9antlr

Description: Deduction adding 9 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017) (Proof shortened by Wolf Lammen, 5-Apr-2022)

Ref Expression
Hypothesis ad2ant.1 φ ψ
Assertion ad9antlr χ φ θ τ η ζ σ ρ μ λ ψ

Proof

Step Hyp Ref Expression
1 ad2ant.1 φ ψ
2 1 adantl χ φ ψ
3 2 ad8antr χ φ θ τ η ζ σ ρ μ λ ψ