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

Theorem rexlimd 2544
 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
rexlimd.2
rexlimd.3
Assertion
Ref Expression
rexlimd

Proof of Theorem rexlimd
StepHypRef Expression
1 rexlimd.1 . . 3
2 rexlimd.3 . . 3
31, 2ralrimi 2501 . 2
4 rexlimd.2 . . 3
54r19.23 2538 . 2
63, 5sylib 121 1
 Colors of variables: wff set class Syntax hints:   wi 4  wnf 1436   wcel 1480  wral 2414  wrex 2415 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1423  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-4 1487  ax-ial 1514  ax-i5r 1515 This theorem depends on definitions:  df-bi 116  df-nf 1437  df-ral 2419  df-rex 2420 This theorem is referenced by:  rexlimdv  2546  ralxfrALT  4383  fvmptt  5505  ffnfv  5571  nneneq  6744  ac6sfi  6785  prarloclem3step  7297  prmuloc2  7368  caucvgprprlemaddq  7509  axpre-suploclemres  7702  lbzbi  9401  divalglemeunn  11603  divalglemeuneg  11605  oddpwdclemdvds  11833  oddpwdclemndvds  11834
 Copyright terms: Public domain W3C validator