ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  r19.2m Structured version   Unicode version

Theorem r19.2m 3303
Description: Theorem 19.2 of [Margaris] p. 89 with restricted quantifiers (compare 19.2 1526). The restricted version is valid only when the domain of quantification is inhabited. (Contributed by Jim Kingdon, 5-Aug-2018.)
Assertion
Ref Expression
r19.2m
Distinct variable group:   ,
Allowed substitution hint:   ()

Proof of Theorem r19.2m
StepHypRef Expression
1 df-ral 2305 . . . 4
2 exintr 1522 . . . 4
31, 2sylbi 114 . . 3
4 df-rex 2306 . . 3
53, 4syl6ibr 151 . 2
65impcom 116 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97  wal 1240  wex 1378   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
This theorem depends on definitions:  df-bi 110  df-ral 2305  df-rex 2306
This theorem is referenced by:  intssunim  3628  riinm  3720  trintssm  3861  iinexgm  3899  xpiindim  4416  cnviinm  4802  eusvobj2  5441  iinerm  6114
  Copyright terms: Public domain W3C validator