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Mirrors > Home > ILE Home > Th. List > vtoclf | Unicode version |
Description: Implicit substitution of a class for a setvar variable. This is a generalization of chvar 1680. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
vtoclf.1 | |
vtoclf.2 | |
vtoclf.3 | |
vtoclf.4 |
Ref | Expression |
---|---|
vtoclf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtoclf.1 | . . 3 | |
2 | vtoclf.2 | . . . . 5 | |
3 | 2 | isseti 2607 | . . . 4 |
4 | vtoclf.3 | . . . . 5 | |
5 | 4 | biimpd 142 | . . . 4 |
6 | 3, 5 | eximii 1533 | . . 3 |
7 | 1, 6 | 19.36i 1602 | . 2 |
8 | vtoclf.4 | . 2 | |
9 | 7, 8 | mpg 1380 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 wceq 1284 wnf 1389 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: vtocl 2653 |
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