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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-bcc | Structured version Visualization version Unicode version |
Description: Define a generalized binomial coefficient operation, which unlike df-bc 13090 allows complex numbers for the first argument. (Contributed by Steve Rodriguez, 22-Apr-2020.) |
Ref | Expression |
---|---|
df-bcc | C𝑐 FallFac |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbcc 38535 | . 2 C𝑐 | |
2 | vc | . . 3 | |
3 | vk | . . 3 | |
4 | cc 9934 | . . 3 | |
5 | cn0 11292 | . . 3 | |
6 | 2 | cv 1482 | . . . . 5 |
7 | 3 | cv 1482 | . . . . 5 |
8 | cfallfac 14735 | . . . . 5 FallFac | |
9 | 6, 7, 8 | co 6650 | . . . 4 FallFac |
10 | cfa 13060 | . . . . 5 | |
11 | 7, 10 | cfv 5888 | . . . 4 |
12 | cdiv 10684 | . . . 4 | |
13 | 9, 11, 12 | co 6650 | . . 3 FallFac |
14 | 2, 3, 4, 5, 13 | cmpt2 6652 | . 2 FallFac |
15 | 1, 14 | wceq 1483 | 1 C𝑐 FallFac |
Colors of variables: wff setvar class |
This definition is referenced by: bccval 38537 |
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