Theorem alim 1810

Description: Restatement of Axiom ax-4 1809, for labeling consistency. It should be the only theorem using ax-4 1809. (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 1809	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1538

This theorem was proved from axioms:  ax-4 1809

This theorem is referenced by:  alimi  1811  al2im  1814  sylgt  1822  19.38a  1840  stdpc5v  1938  axc4  2320  hbaltg  35768  bj-2alim  36571  bj-sylggt  36578  bj-alexim  36588  bj-cbvalimt  36600  bj-eximALT  36602  bj-hbalt  36642  bj-nfdt0  36656  bj-nnf-alrim  36716  bj-nnflemaa  36723  bj-nnflemea  36726  stdpc5t  36788  al3im  43609  hbalg  44518  al2imVD  44824  hbalgVD  44867