ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  syl6req Unicode version

Theorem syl6req 2086
Description: An equality transitivity deduction. (Contributed by NM, 29-Mar-1998.)
Hypotheses
Ref Expression
syl6req.1
syl6req.2  C
Assertion
Ref Expression
syl6req  C

Proof of Theorem syl6req
StepHypRef Expression
1 syl6req.1 . . 3
2 syl6req.2 . . 3  C
31, 2syl6eq 2085 . 2  C
43eqcomd 2042 1  C
Colors of variables: wff set class
Syntax hints:   wi 4   wceq 1242
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-4 1397  ax-17 1416  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-cleq 2030
This theorem is referenced by:  syl6reqr  2088  elxp4  4751  elxp5  4752  fo1stresm  5730  fo2ndresm  5731  eloprabi  5764  fo2ndf  5790  xpsnen  6231  xpassen  6240  ine0  7187  nn0n0n1ge2  8087  fzval2  8647  fseq1p1m1  8726
  Copyright terms: Public domain W3C validator