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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 1493 | . 2 | |
2 | vtocl.1 | . 2 | |
3 | vtocl.2 | . 2 | |
4 | vtocl.3 | . 2 | |
5 | 1, 2, 3, 4 | vtoclf 2713 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1316 wcel 1465 cvv 2660 |
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-5 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-v 2662 |
This theorem is referenced by: vtoclb 2717 zfauscl 4018 bnd2 4067 uniex 4329 ordtriexmid 4407 onsucsssucexmid 4412 regexmid 4420 ordsoexmid 4447 onintexmid 4457 reg3exmid 4464 nnregexmid 4504 acexmidlemv 5740 caovcan 5903 findcard2 6751 findcard2s 6752 inffiexmid 6768 sup3exmid 8683 bj-uniex 13042 bj-omtrans 13081 |
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