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Mirrors > Home > ILE Home > Th. List > vtocle | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 9-Sep-1993.) |
Ref | Expression |
---|---|
vtocle.1 | |
vtocle.2 |
Ref | Expression |
---|---|
vtocle |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtocle.1 | . 2 | |
2 | vtocle.2 | . . 3 | |
3 | 2 | vtocleg 2731 | . 2 |
4 | 1, 3 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1316 wcel 1465 cvv 2660 |
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 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-v 2662 |
This theorem is referenced by: repizf2 4056 nn0ind-raph 9136 |
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