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Theorem nfabd 2212
 Description: Bound-variable hypothesis builder for a class abstraction. (Contributed by Mario Carneiro, 8-Oct-2016.)
Hypotheses
Ref Expression
nfabd.1
nfabd.2
Assertion
Ref Expression
nfabd

Proof of Theorem nfabd
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 nfv 1437 . 2
2 df-clab 2043 . . 3
3 nfabd.1 . . . 4
4 nfabd.2 . . . 4
53, 4nfsbd 1867 . . 3
62, 5nfxfrd 1380 . 2
71, 6nfcd 2189 1
 Colors of variables: wff set class Syntax hints:   wi 4  wnf 1365   wcel 1409  wsb 1661  cab 2042  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 This theorem depends on definitions:  df-bi 114  df-nf 1366  df-sb 1662  df-clab 2043  df-nfc 2183 This theorem is referenced by:  nfsbcd  2806  nfcsb1d  2908  nfcsbd  2911  nfifd  3383  nfunid  3615  nfiotadxy  4898
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