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Theorem nfeq1 2268
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 2258 . 2  |-  F/_ x B
31, 2nfeq 2266 1  |-  F/ x  A  =  B
Colors of variables: wff set class
Syntax hints:    = wceq 1316   F/wnf 1421   F/_wnfc 2245
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-io 683  ax-5 1408  ax-7 1409  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-8 1467  ax-10 1468  ax-11 1469  ax-i12 1470  ax-bndl 1471  ax-4 1472  ax-17 1491  ax-i9 1495  ax-ial 1499  ax-i5r 1500  ax-ext 2099
This theorem depends on definitions:  df-bi 116  df-tru 1319  df-nf 1422  df-sb 1721  df-cleq 2110  df-clel 2113  df-nfc 2247
This theorem is referenced by:  euabsn  3563  fvmptt  5480  eusvobj2  5728  ovmpodv2  5872  ovi3  5875  dom2lem  6634  seq3f1olemstep  10242  seq3f1olemp  10243  fsumf1o  11127  isumss  11128  isummulc2  11163  fsum00  11199  isumshft  11227
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