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Mirrors > Home > ILE Home > Th. List > nfccdeq | Unicode version |
Description: Variation of nfcdeq 2934 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 2293 | . . 3 |
3 | equid 1681 | . . . . 5 | |
4 | 3 | cdeqth 2924 | . . . 4 CondEq |
5 | nfccdeq.2 | . . . 4 CondEq | |
6 | 4, 5 | cdeqel 2933 | . . 3 CondEq |
7 | 2, 6 | nfcdeq 2934 | . 2 |
8 | 7 | eqriv 2154 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1335 wcel 2128 wnfc 2286 CondEqwcdeq 2920 |
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 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-sb 1743 df-cleq 2150 df-clel 2153 df-nfc 2288 df-cdeq 2921 |
This theorem is referenced by: (None) |
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