Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > zsscn | Unicode version |
Description: The integers are a subset of the complex numbers. (Contributed by NM, 2-Aug-2004.) |
Ref | Expression |
---|---|
zsscn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | zcn 9066 | . 2 | |
2 | 1 | ssriv 3101 | 1 |
Colors of variables: wff set class |
Syntax hints: wss 3071 cc 7625 cz 9061 |
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 2121 ax-resscn 7719 |
This theorem depends on definitions: df-bi 116 df-3or 963 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-rex 2422 df-rab 2425 df-v 2688 df-un 3075 df-in 3077 df-ss 3084 df-sn 3533 df-pr 3534 df-op 3536 df-uni 3737 df-br 3930 df-iota 5088 df-fv 5131 df-ov 5777 df-neg 7943 df-z 9062 |
This theorem is referenced by: zex 9070 divfnzn 9420 zexpcl 10315 fsumzcl 11178 lmbrf 12394 lmres 12427 |
Copyright terms: Public domain | W3C validator |