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Mirrors > Home > ILE Home > Th. List > nfopab | Unicode version |
Description: Bound-variable hypothesis builder for class abstraction. (Contributed by NM, 1-Sep-1999.) Remove disjoint variable conditions. (Revised by Andrew Salmon, 11-Jul-2011.) |
Ref | Expression |
---|---|
nfopab.1 |
Ref | Expression |
---|---|
nfopab |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-opab 4026 | . 2 | |
2 | nfv 1508 | . . . . . 6 | |
3 | nfopab.1 | . . . . . 6 | |
4 | 2, 3 | nfan 1545 | . . . . 5 |
5 | 4 | nfex 1617 | . . . 4 |
6 | 5 | nfex 1617 | . . 3 |
7 | 6 | nfab 2304 | . 2 |
8 | 1, 7 | nfcxfr 2296 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1335 wnf 1440 wex 1472 cab 2143 wnfc 2286 cop 3563 copab 4024 |
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 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-opab 4026 |
This theorem is referenced by: csbopabg 4042 nfmpt 4056 nfxp 4613 nfco 4751 nfcnv 4765 nfofr 6038 |
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