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Mirrors > Home > ILE Home > Th. List > 2mulicn | Unicode version |
Description: (common case). (Contributed by David A. Wheeler, 8-Dec-2018.) |
Ref | Expression |
---|---|
2mulicn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2cn 8815 | . 2 | |
2 | ax-icn 7739 | . 2 | |
3 | 1, 2 | mulcli 7795 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1481 (class class class)co 5782 cc 7642 ci 7646 cmul 7649 c2 8795 |
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-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-11 1485 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 ax-resscn 7736 ax-1re 7738 ax-icn 7739 ax-addrcl 7741 ax-mulcl 7742 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-in 3082 df-ss 3089 df-2 8803 |
This theorem is referenced by: 2muline0 8969 imval2 10698 sinval 11445 sinf 11447 sinneg 11469 efival 11475 sinadd 11479 sincn 12898 |
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