Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > df-hil | Structured version Visualization version Unicode version |
Description: Define class of all Hilbert spaces. Based on Proposition 4.5, p. 176, Gudrun Kalmbach, Quantum Measures and Spaces, Kluwer, Dordrecht, 1998. (Contributed by NM, 7-Oct-2011.) (Revised by Mario Carneiro, 16-Oct-2015.) |
Ref | Expression |
---|---|
df-hil |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | chs 20045 | . 2 | |
2 | vh | . . . . . . 7 | |
3 | 2 | cv 1482 | . . . . . 6 |
4 | cpj 20044 | . . . . . 6 | |
5 | 3, 4 | cfv 5888 | . . . . 5 |
6 | 5 | cdm 5114 | . . . 4 |
7 | ccss 20005 | . . . . 5 | |
8 | 3, 7 | cfv 5888 | . . . 4 |
9 | 6, 8 | wceq 1483 | . . 3 |
10 | cphl 19969 | . . 3 | |
11 | 9, 2, 10 | crab 2916 | . 2 |
12 | 1, 11 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: ishil 20062 |
Copyright terms: Public domain | W3C validator |