Description: Closure of the group multiple (exponentiation) operation for a nonnegative multiplier in a monoid. (Contributed by Mario Carneiro, 11-Dec-2014)
Ref | Expression | ||
---|---|---|---|
Hypotheses | mulgnncl.b | |
|
mulgnncl.t | |
||
Assertion | mulgnn0cl | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mulgnncl.b | |
|
2 | mulgnncl.t | |
|
3 | eqid | |
|
4 | id | |
|
5 | ssidd | |
|
6 | 1 3 | mndcl | |
7 | eqid | |
|
8 | 1 7 | mndidcl | |
9 | 1 2 3 4 5 6 7 8 | mulgnn0subcl | |