Theorem alim 1837

Description: Restatement of Axiom ax-4 1836, for labeling consistency. It should be the only theorem using ax-4 1836. (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 1836	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1565

This theorem was proved from axioms:  ax-4 1836

This theorem is referenced by:  alimi  1838  al2im  1841  sylgt  1849  19.38a  1867  stdpc5v  1965  axc4  2360  hbaltg  36195  bj-almp  37092  bj-sylggt  37093  bj-2alim  37103  bj-exim  37120  bj-alexim  37121  bj-nfdt0  37208  bj-nnf-alrim  37258  bj-nnflemaa  37299  bj-nnflemea  37302  stdpc5t  37350  al3im  44264  hbalg  45155  al2imVD  45461  hbalgVD  45504