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| Mirrors > Home > HSE Home > Th. List > ax-hfvmul | Structured version Visualization version GIF version | ||
| Description: Scalar multiplication is an operation on ℂ and ℋ. (Contributed by NM, 16-Aug-1999.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| ax-hfvmul | ⊢ ·ℎ :(ℂ × ℋ)⟶ ℋ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cc 11153 | . . 3 class ℂ | |
| 2 | chba 30938 | . . 3 class ℋ | |
| 3 | 1, 2 | cxp 5683 | . 2 class (ℂ × ℋ) |
| 4 | csm 30940 | . 2 class ·ℎ | |
| 5 | 3, 2, 4 | wf 6557 | 1 wff ·ℎ :(ℂ × ℋ)⟶ ℋ |
| Colors of variables: wff setvar class |
| This axiom is referenced by: hvmulex 31030 hvmulcl 31032 hilvc 31181 issh2 31228 hhssabloilem 31280 hhssnv 31283 hhsssh 31288 |
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