Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 6891 | . 2 ⊔ | |
2 | nfcv 2258 | . . . 4 | |
3 | nfdju.1 | . . . 4 | |
4 | 2, 3 | nfxp 4536 | . . 3 |
5 | nfcv 2258 | . . . 4 | |
6 | nfdju.2 | . . . 4 | |
7 | 5, 6 | nfxp 4536 | . . 3 |
8 | 4, 7 | nfun 3202 | . 2 |
9 | 1, 8 | nfcxfr 2255 | 1 ⊔ |
Colors of variables: wff set class |
Syntax hints: wnfc 2245 cun 3039 c0 3333 csn 3497 cxp 4507 c1o 6274 ⊔ cdju 6890 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-un 3045 df-opab 3960 df-xp 4515 df-dju 6891 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |