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Mirrors > Home > ILE Home > Th. List > vtoclb | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 23-Dec-1993.) |
Ref | Expression |
---|---|
vtoclb.1 | |
vtoclb.2 | |
vtoclb.3 | |
vtoclb.4 |
Ref | Expression |
---|---|
vtoclb |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtoclb.1 | . 2 | |
2 | vtoclb.2 | . . 3 | |
3 | vtoclb.3 | . . 3 | |
4 | 2, 3 | bibi12d 234 | . 2 |
5 | vtoclb.4 | . 2 | |
6 | 1, 4, 5 | vtocl 2775 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1342 wcel 2135 cvv 2721 |
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 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-v 2723 |
This theorem is referenced by: alexeq 2847 sbss 3512 |
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