Theorems · Theorem · number theory
NumberField.mixedEmbedding.convexBodySumFun_smul
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (c : ℝ) (x : NumberField.mixedEmbedding.mixedSpace K),
NumberField.mixedEmbedding.convexBodySumFun (c • x) = |c| * NumberField.mixedEmbedding.convexBodySumFun x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- mul_commproof · cited by 2,262
- absstatement and proof · cited by 1,814
- mul_assocproof · cited by 1,667
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.convexBodySum_volumeproof · cited by 1
- NumberField.mixedEmbedding.convexBodySum_convexproof · cited by 1