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Mirrors > Home > ILE Home > Th. List > deceq12i | Unicode version |
Description: Equality theorem for the decimal constructor. (Contributed by Mario Carneiro, 17-Apr-2015.) |
Ref | Expression |
---|---|
deceq1i.1 | |
deceq12i.2 |
Ref | Expression |
---|---|
deceq12i | ; ; |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | deceq1i.1 | . . 3 | |
2 | 1 | deceq1i 8483 | . 2 ; ; |
3 | deceq12i.2 | . . 3 | |
4 | 3 | deceq2i 8484 | . 2 ; ; |
5 | 2, 4 | eqtri 2101 | 1 ; ; |
Colors of variables: wff set class |
Syntax hints: wceq 1284 ;cdc 8477 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-rex 2354 df-v 2603 df-un 2977 df-sn 3404 df-pr 3405 df-op 3407 df-uni 3602 df-br 3786 df-iota 4887 df-fv 4930 df-ov 5535 df-dec 8478 |
This theorem is referenced by: 11multnc 8544 |
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