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Mirrors > Home > ILE Home > Th. List > vtocleg | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 10-Jan-2004.) |
Ref | Expression |
---|---|
vtocleg.1 |
Ref | Expression |
---|---|
vtocleg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elisset 2568 | . 2 | |
2 | vtocleg.1 | . . 3 | |
3 | 2 | exlimiv 1489 | . 2 |
4 | 1, 3 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1243 wex 1381 wcel 1393 |
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-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-v 2559 |
This theorem is referenced by: vtocle 2627 spsbc 2775 prexgOLD 3946 prexg 3947 funimaexglem 4982 eloprabga 5591 bj-prexg 10031 |
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