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Mirrors > Home > ILE Home > Th. List > nfmpt1 | Unicode version |
Description: Bound-variable hypothesis builder for the maps-to notation. (Contributed by FL, 17-Feb-2008.) |
Ref | Expression |
---|---|
nfmpt1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-mpt 3820 | . 2 | |
2 | nfopab1 3826 | . 2 | |
3 | 1, 2 | nfcxfr 2175 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wceq 1243 wcel 1393 wnfc 2165 copab 3817 cmpt 3818 |
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-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-opab 3819 df-mpt 3820 |
This theorem is referenced by: nffvmpt1 5186 fvmptss2 5247 fvmptssdm 5255 fvmptdf 5258 mpteqb 5261 fvmptf 5263 ralrnmpt 5309 rexrnmpt 5310 f1ompt 5320 f1mpt 5410 fliftfun 5436 dom2lem 6252 |
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