Theorem alim 1729

Description: Restatement of Axiom ax-4 1728, for labeling consistency. It should be the only theorem using ax-4 1728. (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 1728	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1473

This theorem was proved from axioms:  ax-4 1728

This theorem is referenced by:  alimi  1730  al2im  1732  sylgt  1739  stdpc5v  1854  spfwOLD  1953  19.21t  2061  axc4  2115  19.21t-1OLD  2200  eunex  4785  hbaltg  30957  bj-2alim  31779  bj-hbalt  31858  bj-nfdt0  31872  bj-eunex  31987  stdpc5t  32002  al3im  36957  hbalg  37792  al2imVD  38120  hbalgVD  38163