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Mirrors > Home > ILE Home > Th. List > nfccdeq | Unicode version |
Description: Variation of nfcdeq 2952 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 2306 | . . 3 |
3 | equid 1694 | . . . . 5 | |
4 | 3 | cdeqth 2942 | . . . 4 CondEq |
5 | nfccdeq.2 | . . . 4 CondEq | |
6 | 4, 5 | cdeqel 2951 | . . 3 CondEq |
7 | 2, 6 | nfcdeq 2952 | . 2 |
8 | 7 | eqriv 2167 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1348 wcel 2141 wnfc 2299 CondEqwcdeq 2938 |
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-io 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 df-cleq 2163 df-clel 2166 df-nfc 2301 df-cdeq 2939 |
This theorem is referenced by: (None) |
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