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Mirrors > Home > ILE Home > Th. List > nfdju | Unicode version |
Description: Bound-variable hypothesis builder for disjoint union. (Contributed by Jim Kingdon, 23-Jun-2022.) |
Ref | Expression |
---|---|
nfdju.1 | |
nfdju.2 |
Ref | Expression |
---|---|
nfdju | ⊔ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dju 6923 | . 2 ⊔ | |
2 | nfcv 2281 | . . . 4 | |
3 | nfdju.1 | . . . 4 | |
4 | 2, 3 | nfxp 4566 | . . 3 |
5 | nfcv 2281 | . . . 4 | |
6 | nfdju.2 | . . . 4 | |
7 | 5, 6 | nfxp 4566 | . . 3 |
8 | 4, 7 | nfun 3232 | . 2 |
9 | 1, 8 | nfcxfr 2278 | 1 ⊔ |
Colors of variables: wff set class |
Syntax hints: wnfc 2268 cun 3069 c0 3363 csn 3527 cxp 4537 c1o 6306 ⊔ cdju 6922 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-un 3075 df-opab 3990 df-xp 4545 df-dju 6923 |
This theorem is referenced by: (None) |
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