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Mirrors > Home > NFE Home > Th. List > nfmpt21 | Unicode version |
Description: Bound-variable hypothesis builder for an operation in maps-to notation. (Contributed by NM, 27-Aug-2013.) |
Ref | Expression |
---|---|
nfmpt21 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-mpt2 5654 | . 2 | |
2 | nfoprab1 5546 | . 2 | |
3 | 1, 2 | nfcxfr 2486 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wa 358 wceq 1642 wcel 1710 wnfc 2476 coprab 5527 cmpt2 5653 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-oprab 5528 df-mpt2 5654 |
This theorem is referenced by: ov2gf 5711 |
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