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Theorem nfeq1 2342
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 2332 . 2  |-  F/_ x B
31, 2nfeq 2340 1  |-  F/ x  A  =  B
Colors of variables: wff set class
Syntax hints:    = wceq 1364   F/wnf 1471   F/_wnfc 2319
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 710  ax-5 1458  ax-7 1459  ax-gen 1460  ax-ie1 1504  ax-ie2 1505  ax-8 1515  ax-10 1516  ax-11 1517  ax-i12 1518  ax-bndl 1520  ax-4 1521  ax-17 1537  ax-i9 1541  ax-ial 1545  ax-i5r 1546  ax-ext 2171
This theorem depends on definitions:  df-bi 117  df-tru 1367  df-nf 1472  df-sb 1774  df-cleq 2182  df-clel 2185  df-nfc 2321
This theorem is referenced by:  euabsn  3677  fvmptt  5628  eusvobj2  5883  ovmpodv2  6031  ovi3  6034  dom2lem  6799  seq3f1olemstep  10534  seq3f1olemp  10535  fsumf1o  11433  isumss  11434  isummulc2  11469  fsum00  11505  isumshft  11533  fprodf1o  11631  prodssdc  11632
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