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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 28668 | . 2 class ·𝑠OLD | |
2 | c2nd 7760 | . . 3 class 2nd | |
3 | c1st 7759 | . . 3 class 1st | |
4 | 2, 3 | ccom 5555 | . 2 class (2nd ∘ 1st ) |
5 | 1, 4 | wceq 1543 | 1 wff ·𝑠OLD = (2nd ∘ 1st ) |
Colors of variables: wff setvar class |
This definition is referenced by: smfval 28686 |
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