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| Mirrors > Home > MPE Home > Th. List > df-sm | Structured version Visualization version GIF version | ||
| Description: Define scalar multiplication on a normed complex vector space. (Contributed by NM, 24-Apr-2007.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-sm | ⊢ ·𝑠OLD = (2nd ∘ 1st ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cns 30606 | . 2 class ·𝑠OLD | |
| 2 | c2nd 8013 | . . 3 class 2nd | |
| 3 | c1st 8012 | . . 3 class 1st | |
| 4 | 2, 3 | ccom 5689 | . 2 class (2nd ∘ 1st ) |
| 5 | 1, 4 | wceq 1540 | 1 wff ·𝑠OLD = (2nd ∘ 1st ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: smfval 30624 |
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