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Mirrors > Home > ILE Home > Th. List > vtoclef | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
vtoclef.1 | |
vtoclef.2 | |
vtoclef.3 |
Ref | Expression |
---|---|
vtoclef |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtoclef.2 | . . 3 | |
2 | 1 | isseti 2738 | . 2 |
3 | vtoclef.1 | . . 3 | |
4 | vtoclef.3 | . . 3 | |
5 | 3, 4 | exlimi 1587 | . 2 |
6 | 2, 5 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1348 wnf 1453 wex 1485 wcel 2141 cvv 2730 |
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 1440 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-v 2732 |
This theorem is referenced by: nn0ind-raph 9322 |
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