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Mirrors > Home > ILE Home > Th. List > nfmpo1 | Unicode version |
Description: Bound-variable hypothesis builder for an operation in maps-to notation. (Contributed by NM, 27-Aug-2013.) |
Ref | Expression |
---|---|
nfmpo1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-mpo 5787 | . 2 | |
2 | nfoprab1 5828 | . 2 | |
3 | 1, 2 | nfcxfr 2279 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1332 wcel 1481 wnfc 2269 coprab 5783 cmpo 5784 |
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-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-oprab 5786 df-mpo 5787 |
This theorem is referenced by: ovmpos 5902 ov2gf 5903 ovmpodxf 5904 ovmpodf 5910 ovmpodv2 5912 xpcomco 6728 mapxpen 6750 cnmpt21 12499 cnmpt2t 12501 cnmptcom 12506 |
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