Theorems · Theorem · functional analysis
scalarSMulCLE_apply
∀ (H : Type u_1) [inst : NormedAddCommGroup H] [inst_1 : InnerProductSpace ℂ H] (c : ℂˣ) (x : H), (scalarSMulCLE H c) x = c • x
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- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Complexstatement and proof · cited by 5,565
- InnerProductSpacestatement and proof · cited by 3,523
- Unitsstatement and proof · cited by 2,804
- ContinuousLinearEquivstatement · cited by 743
- scalarSMulCLEstatement · cited by 7
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