![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > nfdm | Unicode version |
Description: Bound-variable hypothesis builder for domain. (Contributed by NM, 30-Jan-2004.) (Revised by Mario Carneiro, 15-Oct-2016.) |
Ref | Expression |
---|---|
nfrn.1 |
![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfdm |
![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dm 4648 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | nfcv 2329 |
. . . . 5
![]() ![]() ![]() ![]() | |
3 | nfrn.1 |
. . . . 5
![]() ![]() ![]() ![]() | |
4 | nfcv 2329 |
. . . . 5
![]() ![]() ![]() ![]() | |
5 | 2, 3, 4 | nfbr 4061 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() |
6 | 5 | nfex 1647 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | 6 | nfab 2334 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | 1, 7 | nfcxfr 2326 |
1
![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-ext 2169 |
This theorem depends on definitions: df-bi 117 df-3an 981 df-tru 1366 df-nf 1471 df-sb 1773 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-v 2751 df-un 3145 df-sn 3610 df-pr 3611 df-op 3613 df-br 4016 df-dm 4648 |
This theorem is referenced by: nfrn 4884 dmiin 4885 nffn 5324 ellimc3apf 14425 |
Copyright terms: Public domain | W3C validator |