Description: The multiplicative structure of Z/nZ is the same as the quotient ring it is based on. (Contributed by Mario Carneiro, 15-Jun-2015) (Revised by AV, 13-Jun-2019) (Revised by AV, 3-Nov-2024)
Ref | Expression | ||
---|---|---|---|
Hypotheses | znval2.s | |
|
znval2.u | |
||
znval2.y | |
||
Assertion | znmul | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | znval2.s | |
|
2 | znval2.u | |
|
3 | znval2.y | |
|
4 | mulrid | |
|
5 | plendxnmulrndx | |
|
6 | 5 | necomi | |
7 | 1 2 3 4 6 | znbaslem | |