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Mirrors > Home > ILE Home > Th. List > nfabd | Unicode version |
Description: Bound-variable hypothesis builder for a class abstraction. (Contributed by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
nfabd.1 |
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nfabd.2 |
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Ref | Expression |
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nfabd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1539 |
. 2
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2 | df-clab 2176 |
. . 3
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3 | nfabd.1 |
. . . 4
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4 | nfabd.2 |
. . . 4
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5 | 3, 4 | nfsbd 1989 |
. . 3
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6 | 2, 5 | nfxfrd 1486 |
. 2
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7 | 1, 6 | nfcd 2327 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
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 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2176 df-nfc 2321 |
This theorem is referenced by: nfsbcd 2997 nfcsb1d 3103 nfcsbd 3107 nfifd 3576 nfunid 3831 nfiotadw 5199 nfixpxy 6742 |
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