| Hilbert Space Explorer |
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Related theorems GIF version |
| Description: Scalar multiplication is an operation on ℂ and ℋ. |
| Ref | Expression |
|---|---|
| ax-hfvmul | ⊢ ·h :(ℂ × ℋ )–→ ℋ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cc 5212 | . . 3 class ℂ | |
| 2 | chil 8727 | . . 3 class ℋ | |
| 3 | 1, 2 | cxp 3163 | . 2 class (ℂ × ℋ ) |
| 4 | csm 8729 | . 2 class ·h | |
| 5 | 3, 2, 4 | wf 3173 | 1 wff ·h :(ℂ × ℋ )–→ ℋ |
| Colors of variables: wff set class |
| This axiom is referenced by: hvmulex 8820 hvmulclt 8822 hilvc 8968 hhssabl 9071 hhssnv 9073 hhsssh 9078 |