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Theorem nfeq1 2291
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 2281 . 2  |-  F/_ x B
31, 2nfeq 2289 1  |-  F/ x  A  =  B
Colors of variables: wff set class
Syntax hints:    = wceq 1331   F/wnf 1436   F/_wnfc 2268
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 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121
This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-cleq 2132  df-clel 2135  df-nfc 2270
This theorem is referenced by:  euabsn  3593  fvmptt  5512  eusvobj2  5760  ovmpodv2  5904  ovi3  5907  dom2lem  6666  seq3f1olemstep  10281  seq3f1olemp  10282  fsumf1o  11166  isumss  11167  isummulc2  11202  fsum00  11238  isumshft  11266
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