Theorem alim 1830

Description: Restatement of Axiom ax-4 1829, for labeling consistency. It should be the only theorem using ax-4 1829. (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 1829	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1558

This theorem was proved from axioms:  ax-4 1829

This theorem is referenced by:  alimi  1831  al2im  1834  sylgt  1842  19.38a  1860  stdpc5v  1958  axc4  2353  hbaltg  36152  bj-almp  37051  bj-sylggt  37052  bj-2alim  37062  bj-exim  37079  bj-alexim  37080  bj-nfdt0  37167  bj-nnf-alrim  37217  bj-nnflemaa  37258  bj-nnflemea  37261  stdpc5t  37309  al3im  44220  hbalg  45128  al2imVD  45434  hbalgVD  45477