Description: Extended real closure of the # function. (Contributed by Mario Carneiro, 22-Apr-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | hashxrcl | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nn0ssre | |
|
2 | ressxr | |
|
3 | 1 2 | sstri | |
4 | pnfxr | |
|
5 | snssi | |
|
6 | 4 5 | ax-mp | |
7 | 3 6 | unssi | |
8 | elex | |
|
9 | hashf | |
|
10 | 9 | ffvelrni | |
11 | 8 10 | syl | |
12 | 7 11 | sselid | |