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Mirrors > Home > ILE Home > Th. List > nfccdeq | Unicode version |
Description: Variation of nfcdeq 2761 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 2172 | . . 3 |
3 | equid 1589 | . . . . 5 | |
4 | 3 | cdeqth 2751 | . . . 4 CondEq |
5 | nfccdeq.2 | . . . 4 CondEq | |
6 | 4, 5 | cdeqel 2760 | . . 3 CondEq |
7 | 2, 6 | nfcdeq 2761 | . 2 |
8 | 7 | eqriv 2037 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1243 wcel 1393 wnfc 2165 CondEqwcdeq 2747 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-cleq 2033 df-clel 2036 df-nfc 2167 df-cdeq 2748 |
This theorem is referenced by: (None) |
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