| Hilbert Space Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > HSE Home > Th. List > ax-hfi | Structured version Visualization version GIF version | ||
| Description: Inner product maps pairs from ℋ to ℂ. (Contributed by NM, 17-Nov-2007.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| ax-hfi | ⊢ ·ih :( ℋ × ℋ)⟶ℂ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | chba 30938 | . . 3 class ℋ | |
| 2 | 1, 1 | cxp 5683 | . 2 class ( ℋ × ℋ) |
| 3 | cc 11153 | . 2 class ℂ | |
| 4 | csp 30941 | . 2 class ·ih | |
| 5 | 2, 3, 4 | wf 6557 | 1 wff ·ih :( ℋ × ℋ)⟶ℂ |
| Colors of variables: wff setvar class |
| This axiom is referenced by: hicl 31099 dfhnorm2 31141 hhip 31196 |
| Copyright terms: Public domain | W3C validator |