ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  nfeq1 Unicode version

Theorem nfeq1 2203
Description: Hypothesis builder for equality, special case. (Contributed by Mario Carneiro, 10-Oct-2016.)
Hypothesis
Ref Expression
nfeq1.1  |-  F/_ x A
Assertion
Ref Expression
nfeq1  |-  F/ x  A  =  B
Distinct variable group:    x, B
Allowed substitution hint:    A( x)

Proof of Theorem nfeq1
StepHypRef Expression
1 nfeq1.1 . 2  |-  F/_ x A
2 nfcv 2194 . 2  |-  F/_ x B
31, 2nfeq 2201 1  |-  F/ x  A  =  B
Colors of variables: wff set class
Syntax hints:    = wceq 1259   F/wnf 1365   F/_wnfc 2181
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-io 640  ax-5 1352  ax-7 1353  ax-gen 1354  ax-ie1 1398  ax-ie2 1399  ax-8 1411  ax-10 1412  ax-11 1413  ax-i12 1414  ax-bndl 1415  ax-4 1416  ax-17 1435  ax-i9 1439  ax-ial 1443  ax-i5r 1444  ax-ext 2038
This theorem depends on definitions:  df-bi 114  df-tru 1262  df-nf 1366  df-sb 1662  df-cleq 2049  df-clel 2052  df-nfc 2183
This theorem is referenced by:  euabsn  3468  fvmptt  5290  eusvobj2  5526  ovmpt2dv2  5662  ovi3  5665  dom2lem  6283
  Copyright terms: Public domain W3C validator