Theorem alim 1510

Description: Theorem 19.20 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by O'Cat, 30-Mar-2008.)

Assertion

Ref	Expression
alim	⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Proof of Theorem alim

Step	Hyp	Ref	Expression
1		ax-5 1500	1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1400

This theorem was proved from axioms:  ax-5 1500

This theorem is referenced by:  al2imi  1511  19.21h  1610  nfalt  1631  19.21ht  1634  mor  2129  bj-stal  16691  bj-hbalt  16705