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Metamath Proof Explorer

Theorem bj-alrim2

Description: Uncurried (imported) form of bj-alrim . (Contributed by BJ, 2-May-2019)

Ref Expression
Assertion bj-alrim2 ⊢ Ⅎ x φ ∧ ∀ x φ → ψ → φ → ∀ x ψ

Proof

Step Hyp Ref Expression
1 bj-alrim ⊢ Ⅎ x φ → ∀ x φ → ψ → φ → ∀ x ψ
2 1 imp ⊢ Ⅎ x φ ∧ ∀ x φ → ψ → φ → ∀ x ψ