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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 8759 | . 2 | |
2 | ax-icn 7683 | . 2 | |
3 | 1, 2 | mulcli 7739 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1465 (class class class)co 5742 cc 7586 ci 7590 cmul 7593 c2 8739 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 ax-resscn 7680 ax-1re 7682 ax-icn 7683 ax-addrcl 7685 ax-mulcl 7686 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-in 3047 df-ss 3054 df-2 8747 |
This theorem is referenced by: 2muline0 8913 imval2 10634 sinval 11336 sinf 11338 sinneg 11360 efival 11366 sinadd 11370 sincn 12785 |
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