Theorem alim 1812

Description: Restatement of Axiom ax-4 1811, for labeling consistency. It should be the only theorem using ax-4 1811. (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 1811	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1536

This theorem was proved from axioms:  ax-4 1811

This theorem is referenced by:  alimi  1813  al2im  1816  sylgt  1823  19.38a  1841  stdpc5v  1939  axc4  2329  hbaltg  33165  bj-2alim  34057  bj-alexim  34073  bj-cbvalimt  34085  bj-eximALT  34087  bj-hbalt  34128  bj-nfdt0  34142  bj-nnf-alrim  34199  bj-nnflemaa  34206  bj-nnflemea  34209  stdpc5t  34265  al3im  40347  hbalg  41261  al2imVD  41568  hbalgVD  41611