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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 8949 | . 2 | |
2 | ax-icn 7869 | . 2 | |
3 | 1, 2 | mulcli 7925 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 2141 (class class class)co 5853 cc 7772 ci 7776 cmul 7779 c2 8929 |
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 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-11 1499 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 ax-resscn 7866 ax-1re 7868 ax-icn 7869 ax-addrcl 7871 ax-mulcl 7872 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-in 3127 df-ss 3134 df-2 8937 |
This theorem is referenced by: 2muline0 9103 imval2 10858 sinval 11665 sinf 11667 sinneg 11689 efival 11695 sinadd 11699 sincn 13484 |
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