Metamath Proof Explorer


Theorem alrimiv

Description: Inference form of Theorem 19.21 of Margaris p. 90. See 19.21 and 19.21v . (Contributed by NM, 21-Jun-1993)

Ref Expression
Hypothesis alrimiv.1 ⊢ φ → ψ
Assertion alrimiv ⊢ φ → ∀ x ψ

Proof

Step Hyp Ref Expression
1 alrimiv.1 ⊢ φ → ψ
2 ax-5 ⊢ φ → ∀ x φ
3 2 1 alrimih ⊢ φ → ∀ x ψ