ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  2ax17 Structured version   GIF version

Theorem 2ax17 1755
Description: Quantification of two variables over a formula in which they do not occur. (Contributed by Alan Sare, 12-Apr-2011.)
Ref Expression
2ax17 (φxyφ)
Distinct variable groups:   φ,x   φ,y

Proof of Theorem 2ax17
StepHypRef Expression
1 id 19 . 2 (φφ)
21alrimivv 1752 1 (φxyφ)
Colors of variables: wff set class
Syntax hints:  wi 4  wal 1240
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-5 1333  ax-gen 1335  ax-17 1416
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator