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Mirrors > Home > ILE Home > Th. List > rspc2v | Unicode version |
Description: 2-variable restricted specialization, using implicit substitution. (Contributed by NM, 13-Sep-1999.) |
Ref | Expression |
---|---|
rspc2v.1 | |
rspc2v.2 |
Ref | Expression |
---|---|
rspc2v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1421 | . 2 | |
2 | nfv 1421 | . 2 | |
3 | rspc2v.1 | . 2 | |
4 | rspc2v.2 | . 2 | |
5 | 1, 2, 3, 4 | rspc2 2661 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 wceq 1243 wcel 1393 wral 2306 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 df-v 2559 |
This theorem is referenced by: rspc2va 2663 rspc3v 2665 wetriext 4301 f1veqaeq 5408 isorel 5448 fovcl 5606 caovclg 5653 caovcomg 5656 smoel 5915 cauappcvgprlem1 6757 caucvgprlemnkj 6764 caucvgprlemnbj 6765 caucvgprprlemval 6786 frecuzrdgrrn 9194 iseqcaopr3 9240 iseqhomo 9248 climcn2 9830 |
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