Theorem alim 1817

Description: Restatement of Axiom ax-4 1816, for labeling consistency. It should be the only theorem using ax-4 1816. (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 1816	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1545

This theorem was proved from axioms:  ax-4 1816

This theorem is referenced by:  alimi  1818  al2im  1821  sylgt  1829  19.38a  1847  stdpc5v  1945  axc4  2330  hbaltg  36033  bj-almp  36922  bj-sylggt  36923  bj-2alim  36933  bj-exim  36950  bj-alexim  36951  bj-nfdt0  37038  bj-nnf-alrim  37088  bj-nnflemaa  37129  bj-nnflemea  37132  stdpc5t  37180  al3im  44091  hbalg  44999  al2imVD  45305  hbalgVD  45348