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Mirrors > Home > ILE Home > Th. List > nfccdeq | Unicode version |
Description: Variation of nfcdeq 2812 for classes. (Contributed by Mario Carneiro, 11-Aug-2016.) |
Ref | Expression |
---|---|
nfccdeq.1 | |
nfccdeq.2 | CondEq |
Ref | Expression |
---|---|
nfccdeq |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfccdeq.1 | . . . 4 | |
2 | 1 | nfcri 2213 | . . 3 |
3 | equid 1629 | . . . . 5 | |
4 | 3 | cdeqth 2802 | . . . 4 CondEq |
5 | nfccdeq.2 | . . . 4 CondEq | |
6 | 4, 5 | cdeqel 2811 | . . 3 CondEq |
7 | 2, 6 | nfcdeq 2812 | . 2 |
8 | 7 | eqriv 2078 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1284 wcel 1433 wnfc 2206 CondEqwcdeq 2798 |
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-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-cleq 2074 df-clel 2077 df-nfc 2208 df-cdeq 2799 |
This theorem is referenced by: (None) |
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