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Mirrors > Home > ILE Home > Th. List > nfeuv | Unicode version |
Description: Bound-variable hypothesis builder for existential uniqueness. This is similar to nfeu 1996 but has the additional constraint that and must be distinct. (Contributed by Jim Kingdon, 23-May-2018.) |
Ref | Expression |
---|---|
nfeuv.1 |
Ref | Expression |
---|---|
nfeuv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfeuv.1 | . . . . 5 | |
2 | nfv 1493 | . . . . 5 | |
3 | 1, 2 | nfbi 1553 | . . . 4 |
4 | 3 | nfal 1540 | . . 3 |
5 | 4 | nfex 1601 | . 2 |
6 | df-eu 1980 | . . 3 | |
7 | 6 | nfbii 1434 | . 2 |
8 | 5, 7 | mpbir 145 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wal 1314 wnf 1421 wex 1453 weu 1977 |
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-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-17 1491 ax-ial 1499 ax-i5r 1500 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-eu 1980 |
This theorem is referenced by: nfeu 1996 |
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