Theorem alim 1840

Description: Restatement of Axiom ax-4 1839, for labeling consistency. It should be the only theorem using ax-4 1839. (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 1839	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1568

This theorem was proved from axioms:  ax-4 1839

This theorem is referenced by:  alimi  1841  al2im  1844  sylgt  1852  19.38a  1870  stdpc5v  1968  axc4  2354  hbaltg  36297  bj-almp  37224  bj-sylggt  37225  bj-2alim  37235  bj-exim  37252  bj-alexim  37253  bj-nfdt0  37340  bj-nnf-alrim  37390  bj-nnflemaa  37431  bj-nnflemea  37434  stdpc5t  37482  al3im  44393  hbalg  45284  al2imVD  45590  hbalgVD  45633