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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 | |
nfabd.2 |
Ref | Expression |
---|---|
nfabd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1521 | . 2 | |
2 | df-clab 2157 | . . 3 | |
3 | nfabd.1 | . . . 4 | |
4 | nfabd.2 | . . . 4 | |
5 | 3, 4 | nfsbd 1970 | . . 3 |
6 | 2, 5 | nfxfrd 1468 | . 2 |
7 | 1, 6 | nfcd 2307 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wnf 1453 wsb 1755 wcel 2141 cab 2156 wnfc 2299 |
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 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 df-clab 2157 df-nfc 2301 |
This theorem is referenced by: nfsbcd 2974 nfcsb1d 3080 nfcsbd 3084 nfifd 3553 nfunid 3803 nfiotadw 5163 nfixpxy 6695 |
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