ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  rexlimd Structured version   Unicode version

Theorem rexlimd 2424
Description: Deduction from Theorem 19.23 of [Margaris] p. 90 (restricted quantifier version). (Contributed by NM, 27-May-1998.) (Proof shortened by Andrew Salmon, 30-May-2011.)
Hypotheses
Ref Expression
rexlimd.1  F/
rexlimd.2  F/
rexlimd.3
Assertion
Ref Expression
rexlimd

Proof of Theorem rexlimd
StepHypRef Expression
1 rexlimd.1 . . 3  F/
2 rexlimd.3 . . 3
31, 2ralrimi 2384 . 2
4 rexlimd.2 . . 3  F/
54r19.23 2418 . 2
63, 5sylib 127 1
Colors of variables: wff set class
Syntax hints:   wi 4   F/wnf 1346   wcel 1390  wral 2300  wrex 2301
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-ial 1424  ax-i5r 1425
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-ral 2305  df-rex 2306
This theorem is referenced by:  rexlimdv  2426  ralxfrALT  4165  fvmptt  5205  ffnfv  5266  prarloclem3step  6478  prmuloc2  6547  lbzbi  8307
  Copyright terms: Public domain W3C validator