Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > nfse | Unicode version |
Description: Bound-variable hypothesis builder for set-like relations. (Contributed by Mario Carneiro, 24-Jun-2015.) (Revised by Mario Carneiro, 14-Oct-2016.) |
Ref | Expression |
---|---|
nfse.r | |
nfse.a |
Ref | Expression |
---|---|
nfse | Se |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-se 4250 | . 2 Se | |
2 | nfse.a | . . 3 | |
3 | nfcv 2279 | . . . . . 6 | |
4 | nfse.r | . . . . . 6 | |
5 | nfcv 2279 | . . . . . 6 | |
6 | 3, 4, 5 | nfbr 3969 | . . . . 5 |
7 | 6, 2 | nfrabxy 2609 | . . . 4 |
8 | 7 | nfel1 2290 | . . 3 |
9 | 2, 8 | nfralxy 2469 | . 2 |
10 | 1, 9 | nfxfr 1450 | 1 Se |
Colors of variables: wff set class |
Syntax hints: wnf 1436 wcel 1480 wnfc 2266 wral 2414 crab 2418 cvv 2681 class class class wbr 3924 Se wse 4246 |
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 2119 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-ral 2419 df-rab 2423 df-v 2683 df-un 3070 df-sn 3528 df-pr 3529 df-op 3531 df-br 3925 df-se 4250 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |