ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  nfeu1 Structured version   Unicode version

Theorem nfeu1 1908
Description: Bound-variable hypothesis builder for uniqueness. (Contributed by NM, 9-Jul-1994.) (Revised by Mario Carneiro, 7-Oct-2016.)
Assertion
Ref Expression
nfeu1  F/

Proof of Theorem nfeu1
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 df-eu 1900 . 2
2 nfa1 1431 . . 3  F/
32nfex 1525 . 2  F/
41, 3nfxfr 1360 1  F/
Colors of variables: wff set class
Syntax hints:   wb 98  wal 1240   F/wnf 1346  wex 1378  weu 1897
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-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-ial 1424
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-eu 1900
This theorem is referenced by:  nfmo1  1909  moaneu  1973  nfreu1  2475  eusv2i  4153  eusv2nf  4154  iota2  4836  sniota  4837  fv3  5140  tz6.12c  5146  eusvobj1  5442
  Copyright terms: Public domain W3C validator