Description: Zeroeth powers are Noetherian. (Contributed by Stefan O'Rear, 24-Jan-2015)
Ref | Expression | ||
---|---|---|---|
Hypothesis | pwslnmlem0.y | |
|
Assertion | pwslnmlem0 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pwslnmlem0.y | |
|
2 | 0ex | |
|
3 | 1 | pwslmod | |
4 | 2 3 | mpan2 | |
5 | eqid | |
|
6 | 1 5 | pwsbas | |
7 | 2 6 | mpan2 | |
8 | fvex | |
|
9 | map0e | |
|
10 | 8 9 | ax-mp | |
11 | df1o2 | |
|
12 | 10 11 | eqtri | |
13 | snfi | |
|
14 | 12 13 | eqeltri | |
15 | 7 14 | eqeltrrdi | |
16 | eqid | |
|
17 | 16 | filnm | |
18 | 4 15 17 | syl2anc | |