Metamath Proof Explorer


Theorem axc4i

Description: Inference version of axc4 . (Contributed by NM, 3-Jan-1993)

Ref Expression
Hypothesis axc4i.1 ⊢ ∀ x φ → ψ
Assertion axc4i ⊢ ∀ x φ → ∀ x ψ

Proof

Step Hyp Ref Expression
1 axc4i.1 ⊢ ∀ x φ → ψ
2 nfa1 ⊢ Ⅎ x ∀ x φ
3 2 1 alrimi ⊢ ∀ x φ → ∀ x ψ