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Mirrors > Home > ILE Home > Th. List > nfmpo2 | Unicode version |
Description: Bound-variable hypothesis builder for an operation in maps-to notation. (Contributed by NM, 27-Aug-2013.) |
Ref | Expression |
---|---|
nfmpo2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-mpo 5830 | . 2 | |
2 | nfoprab2 5872 | . 2 | |
3 | 1, 2 | nfcxfr 2296 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1335 wcel 2128 wnfc 2286 coprab 5826 cmpo 5827 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-oprab 5829 df-mpo 5830 |
This theorem is referenced by: ovmpos 5945 ov2gf 5946 ovmpodxf 5947 ovmpodf 5953 ovmpodv2 5955 xpcomco 6772 mapxpen 6794 cnmpt21 12733 cnmpt2t 12735 cnmptcom 12740 |
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