Description: A positive integer root divides its integer. (Contributed by Steven Nguyen, 6-Apr-2023)
Ref | Expression | ||
---|---|---|---|
Assertion | zrtdvds | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nnz | |
|
2 | 1 | 3ad2ant3 | |
3 | simp2 | |
|
4 | iddvdsexp | |
|
5 | 2 3 4 | syl2anc | |
6 | zcn | |
|
7 | 6 | 3ad2ant1 | |
8 | cxproot | |
|
9 | 7 3 8 | syl2anc | |
10 | 5 9 | breqtrd | |