Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > nfneld | Unicode version |
Description: Bound-variable hypothesis builder for negated membership. (Contributed by David Abernethy, 26-Jun-2011.) (Revised by Mario Carneiro, 7-Oct-2016.) |
Ref | Expression |
---|---|
nfneld.1 | |
nfneld.2 |
Ref | Expression |
---|---|
nfneld |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-nel 2207 | . 2 | |
2 | nfneld.1 | . . . 4 | |
3 | nfneld.2 | . . . 4 | |
4 | 2, 3 | nfeld 2193 | . . 3 |
5 | 4 | nfnd 1547 | . 2 |
6 | 1, 5 | nfxfrd 1364 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wnf 1349 wcel 1393 wnfc 2165 wnel 2205 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-17 1419 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-fal 1249 df-nf 1350 df-cleq 2033 df-clel 2036 df-nfc 2167 df-nel 2207 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |