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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 4027 | . 2 | |
2 | nfopab1 4033 | . 2 | |
3 | 1, 2 | nfcxfr 2296 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1335 wcel 2128 wnfc 2286 copab 4024 cmpt 4025 |
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-opab 4026 df-mpt 4027 |
This theorem is referenced by: nffvmpt1 5478 fvmptss2 5542 fvmptssdm 5551 fvmptdf 5554 mpteqb 5557 fvmptf 5559 ralrnmpt 5608 rexrnmpt 5609 f1ompt 5617 f1mpt 5718 fliftfun 5743 dom2lem 6714 mapxpen 6790 mkvprop 7096 cc3 7183 nfcprod1 11446 cnmpt11 12670 |
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