NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  2alimi GIF version

Theorem 2alimi 1560
Description: Inference doubly quantifying both antecedent and consequent. (Contributed by NM, 3-Feb-2005.)
Hypothesis
Ref Expression
alimi.1 (φψ)
Assertion
Ref Expression
2alimi (xyφxyψ)

Proof of Theorem 2alimi
StepHypRef Expression
1 alimi.1 . . 3 (φψ)
21alimi 1559 . 2 (yφyψ)
32alimi 1559 1 (xyφxyψ)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1540
This theorem was proved from axioms:  ax-mp 5  ax-gen 1546  ax-5 1557
This theorem is referenced by:  mo  2226  2mo  2282  2eu6  2289  euind  3023  reuind  3039  sbnfc2  3196  spfininduct  4540  opelopabt  4699  fvopab4t  5385  fnoprabg  5585
  Copyright terms: Public domain W3C validator