Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > nfne | Unicode version |
Description: Bound-variable hypothesis builder for inequality. (Contributed by NM, 10-Nov-2007.) (Revised by Mario Carneiro, 7-Oct-2016.) |
Ref | Expression |
---|---|
nfne.1 | |
nfne.2 |
Ref | Expression |
---|---|
nfne |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2246 | . 2 | |
2 | nfne.1 | . . . 4 | |
3 | nfne.2 | . . . 4 | |
4 | 2, 3 | nfeq 2226 | . . 3 |
5 | 4 | nfn 1588 | . 2 |
6 | 1, 5 | nfxfr 1403 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wceq 1284 wnf 1389 wnfc 2206 wne 2245 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-fal 1290 df-nf 1390 df-sb 1686 df-cleq 2074 df-clel 2077 df-nfc 2208 df-ne 2246 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |