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Mirrors > Home > ILE Home > Th. List > vtocl | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
vtocl.1 | |
vtocl.2 | |
vtocl.3 |
Ref | Expression |
---|---|
vtocl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1461 | . 2 | |
2 | vtocl.1 | . 2 | |
3 | vtocl.2 | . 2 | |
4 | vtocl.3 | . 2 | |
5 | 1, 2, 3, 4 | vtoclf 2652 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 wceq 1284 wcel 1433 cvv 2601 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-v 2603 |
This theorem is referenced by: vtoclb 2656 zfauscl 3898 bnd2 3947 pwex 3953 uniex 4192 ordtriexmid 4265 onsucsssucexmid 4270 regexmid 4278 ordsoexmid 4305 onintexmid 4315 reg3exmid 4322 nnregexmid 4360 acexmidlemv 5530 caovcan 5685 findcard2 6373 findcard2s 6374 bj-uniex 10708 bj-omtrans 10751 |
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