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Mirrors > Home > ILE Home > Th. List > nfco | Unicode version |
Description: Bound-variable hypothesis builder for function value. (Contributed by NM, 1-Sep-1999.) |
Ref | Expression |
---|---|
nfco.1 | |
nfco.2 |
Ref | Expression |
---|---|
nfco |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-co 4543 | . 2 | |
2 | nfcv 2279 | . . . . . 6 | |
3 | nfco.2 | . . . . . 6 | |
4 | nfcv 2279 | . . . . . 6 | |
5 | 2, 3, 4 | nfbr 3969 | . . . . 5 |
6 | nfco.1 | . . . . . 6 | |
7 | nfcv 2279 | . . . . . 6 | |
8 | 4, 6, 7 | nfbr 3969 | . . . . 5 |
9 | 5, 8 | nfan 1544 | . . . 4 |
10 | 9 | nfex 1616 | . . 3 |
11 | 10 | nfopab 3991 | . 2 |
12 | 1, 11 | nfcxfr 2276 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wex 1468 wnfc 2266 class class class wbr 3924 copab 3983 ccom 4538 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-un 3070 df-sn 3528 df-pr 3529 df-op 3531 df-br 3925 df-opab 3985 df-co 4543 |
This theorem is referenced by: nffun 5141 nftpos 6169 cnmpt11 12441 cnmpt21 12449 |
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