Metamath Proof Explorer

Theorem simpr32

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012) (Proof shortened by Wolf Lammen, 24-Jun-2022)

Ref Expression
Assertion simpr32 ⊢ η ∧ θ ∧ τ ∧ φ ∧ ψ ∧ χ → ψ

Proof

Step Hyp Ref Expression
1 simpr2 ⊢ η ∧ φ ∧ ψ ∧ χ → ψ
2 1 3ad2antr3 ⊢ η ∧ θ ∧ τ ∧ φ ∧ ψ ∧ χ → ψ