ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  alim GIF version

Theorem alim 1418
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(𝜑𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))

Proof of Theorem alim
StepHypRef Expression
1 ax-5 1408 1 (∀𝑥(𝜑𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓))
Colors of variables: wff set class
Syntax hints:  wi 4  wal 1314
This theorem was proved from axioms:  ax-5 1408
This theorem is referenced by:  al2imi  1419  19.21h  1521  nfalt  1542  19.21ht  1545  mor  2019  bj-stal  12884  bj-hbalt  12897
  Copyright terms: Public domain W3C validator