Theorem alim 1854

Description: Restatement of Axiom ax-4 1853, for labeling consistency. It should be the only theorem using ax-4 1853. (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 1853	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1599

This theorem was proved from axioms:  ax-4 1853

This theorem is referenced by:  alimi  1855  al2im  1858  sylgt  1865  19.38a  1883  19.38aOLD  1884  stdpc5v  1981  axc4  2295  eunexOLD  5102  hbaltg  32301  bj-2alim  33173  bj-exlalrim  33183  bj-alexim  33184  bj-cbvalimt  33197  bj-hbalt  33260  bj-nfdt0  33274  stdpc5t  33389  al3im  38877  hbalg  39697  al2imVD  40013  hbalgVD  40056