Theorem alim 1813

Description: Restatement of Axiom ax-4 1812, for labeling consistency. It should be the only theorem using ax-4 1812. (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 1812	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1537

This theorem was proved from axioms:  ax-4 1812

This theorem is referenced by:  alimi  1814  al2im  1817  sylgt  1824  19.38a  1842  stdpc5v  1941  axc4  2315  hbaltg  33783  bj-2alim  34792  bj-alexim  34808  bj-cbvalimt  34820  bj-eximALT  34822  bj-hbalt  34863  bj-nfdt0  34877  bj-nnf-alrim  34937  bj-nnflemaa  34944  bj-nnflemea  34947  stdpc5t  35010  al3im  41255  hbalg  42175  al2imVD  42482  hbalgVD  42525