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  36006  bj-almp  36895  bj-sylggt  36896  bj-2alim  36906  bj-exim  36923  bj-alexim  36924  bj-nfdt0  37011  bj-nnf-alrim  37061  bj-nnflemaa  37102  bj-nnflemea  37105  stdpc5t  37153  al3im  44095  hbalg  45003  al2imVD  45309  hbalgVD  45352