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Mirrors > Home > ILE Home > Th. List > nfmpt2 | Unicode version |
Description: Bound-variable hypothesis builder for the maps-to notation. (Contributed by NM, 20-Feb-2013.) |
Ref | Expression |
---|---|
nfmpt2.1 | |
nfmpt2.2 | |
nfmpt2.3 |
Ref | Expression |
---|---|
nfmpt2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-mpt2 5517 | . 2 | |
2 | nfmpt2.1 | . . . . . 6 | |
3 | 2 | nfcri 2172 | . . . . 5 |
4 | nfmpt2.2 | . . . . . 6 | |
5 | 4 | nfcri 2172 | . . . . 5 |
6 | 3, 5 | nfan 1457 | . . . 4 |
7 | nfmpt2.3 | . . . . 5 | |
8 | 7 | nfeq2 2189 | . . . 4 |
9 | 6, 8 | nfan 1457 | . . 3 |
10 | 9 | nfoprab 5557 | . 2 |
11 | 1, 10 | nfcxfr 2175 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wceq 1243 wcel 1393 wnfc 2165 coprab 5513 cmpt2 5514 |
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 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-oprab 5516 df-mpt2 5517 |
This theorem is referenced by: nfiseq 9218 |
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