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Mirrors > Home > ILE Home > Th. List > nfdisjv | Unicode version |
Description: Bound-variable hypothesis builder for disjoint collection. (Contributed by Jim Kingdon, 19-Aug-2018.) |
Ref | Expression |
---|---|
nfdisjv.1 | |
nfdisjv.2 |
Ref | Expression |
---|---|
nfdisjv | Disj |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfdisj2 3747 | . 2 Disj | |
2 | nfcv 2178 | . . . . . 6 | |
3 | nfdisjv.1 | . . . . . 6 | |
4 | 2, 3 | nfel 2186 | . . . . 5 |
5 | nfdisjv.2 | . . . . . 6 | |
6 | 5 | nfcri 2172 | . . . . 5 |
7 | 4, 6 | nfan 1457 | . . . 4 |
8 | 7 | nfmo 1920 | . . 3 |
9 | 8 | nfal 1468 | . 2 |
10 | 1, 9 | nfxfr 1363 | 1 Disj |
Colors of variables: wff set class |
Syntax hints: wa 97 wal 1241 wnf 1349 wcel 1393 wmo 1901 wnfc 2165 Disj wdisj 3745 |
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-tru 1246 df-nf 1350 df-sb 1646 df-eu 1903 df-mo 1904 df-cleq 2033 df-clel 2036 df-nfc 2167 df-rmo 2314 df-disj 3746 |
This theorem is referenced by: (None) |
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