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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 2740 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1331 wcel 1480 cvv 2686 |
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 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-v 2688 |
This theorem is referenced by: alexeq 2811 sbss 3471 |
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