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Mirrors > Home > ILE Home > Th. List > nfsbxy | Unicode version |
Description: Similar to hbsb 1823 but with an extra distinct variable constraint, on and . (Contributed by Jim Kingdon, 19-Mar-2018.) |
Ref | Expression |
---|---|
nfsbxy.1 |
Ref | Expression |
---|---|
nfsbxy |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bndl 1399 | . 2 | |
2 | nfs1v 1815 | . . . 4 | |
3 | drsb1 1680 | . . . . 5 | |
4 | 3 | drnf2 1622 | . . . 4 |
5 | 2, 4 | mpbii 136 | . . 3 |
6 | a16nf 1746 | . . . 4 | |
7 | df-nf 1350 | . . . . . 6 | |
8 | 7 | albii 1359 | . . . . 5 |
9 | sb5 1767 | . . . . . 6 | |
10 | nfa1 1434 | . . . . . . 7 | |
11 | sp 1401 | . . . . . . . 8 | |
12 | nfsbxy.1 | . . . . . . . . 9 | |
13 | 12 | a1i 9 | . . . . . . . 8 |
14 | 11, 13 | nfand 1460 | . . . . . . 7 |
15 | 10, 14 | nfexd 1644 | . . . . . 6 |
16 | 9, 15 | nfxfrd 1364 | . . . . 5 |
17 | 8, 16 | sylbir 125 | . . . 4 |
18 | 6, 17 | jaoi 636 | . . 3 |
19 | 5, 18 | jaoi 636 | . 2 |
20 | 1, 19 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wo 629 wal 1241 wnf 1349 wex 1381 wsb 1645 |
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-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 |
This theorem is referenced by: nfsb 1822 sbalyz 1875 opelopabsb 3997 |
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