| Hilbert Space Explorer |
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Related theorems GIF version |
| Description: Inner product maps pairs from ℋ to ℂ. |
| Ref | Expression |
|---|---|
| ax-hfi | ⊢ ·ih :( ℋ × ℋ )–→ℂ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | chil 8727 | . . 3 class ℋ | |
| 2 | 1, 1 | cxp 3158 | . 2 class ( ℋ × ℋ ) |
| 3 | cc 5204 | . 2 class ℂ | |
| 4 | csp 8732 | . 2 class ·ih | |
| 5 | 2, 3, 4 | wf 3168 | 1 wff ·ih :( ℋ × ℋ )–→ℂ |
| Colors of variables: wff set class |
| This axiom is referenced by: hiclt 8868 dfhnorm2 8909 hhip 8965 |