Theorem alim 1558

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 1557	1 ⊢ (∀x(φ → ψ) → (∀xφ → ∀xψ))

Syntax hints:   → wi 4  ∀wal 1540

This theorem was proved from axioms:  ax-5 1557

This theorem is referenced by:  al2imi  1561  stdpc5OLD  1799  19.21hOLD  1840  19.21tOLD  1863  sbal1  2126