Metamath Proof Explorer


Theorem simp-4r

Description: Simplification of a conjunction. (Contributed by Mario Carneiro, 4-Jan-2017) (Proof shortened by Wolf Lammen, 24-May-2022)

Ref Expression
Assertion simp-4r ⊢ φ ∧ ψ ∧ χ ∧ θ ∧ τ → ψ

Proof

Step Hyp Ref Expression
1 id ⊢ ψ → ψ
2 1 ad4antlr ⊢ φ ∧ ψ ∧ χ ∧ θ ∧ τ → ψ