Theorem alim 1812

Description: Restatement of Axiom ax-4 1811, for labeling consistency. It should be the only theorem using ax-4 1811. (Contributed by NM, 10-Jan-1993.)

Assertion

Ref	Expression
alim	⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Proof of Theorem alim

Step	Hyp	Ref	Expression
1		ax-4 1811	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1540

This theorem was proved from axioms:  ax-4 1811

This theorem is referenced by:  alimi  1813  al2im  1816  sylgt  1824  19.38a  1842  stdpc5v  1940  axc4  2327  hbaltg  36021  bj-almp  36836  bj-sylggt  36837  bj-2alim  36847  bj-exim  36862  bj-alexim  36863  bj-cbvalimt  36875  bj-hbalt  36926  bj-nfdt0  36940  bj-nnf-alrim  36988  bj-nnflemaa  37024  bj-nnflemea  37027  stdpc5t  37075  al3im  44003  hbalg  44911  al2imVD  45217  hbalgVD  45260