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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 8784 | . 2 | |
2 | ax-icn 7708 | . 2 | |
3 | 1, 2 | mulcli 7764 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1480 (class class class)co 5767 cc 7611 ci 7615 cmul 7618 c2 8764 |
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 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 ax-resscn 7705 ax-1re 7707 ax-icn 7708 ax-addrcl 7710 ax-mulcl 7711 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-in 3072 df-ss 3079 df-2 8772 |
This theorem is referenced by: 2muline0 8938 imval2 10659 sinval 11398 sinf 11400 sinneg 11422 efival 11428 sinadd 11432 sincn 12847 |
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