Theorems · Theorem · number theory
NumberField.mixedEmbedding.convexBodySumFun_nonneg
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (x : NumberField.mixedEmbedding.mixedSpace K),
0 ≤ NumberField.mixedEmbedding.convexBodySumFun x- Cited by
- 1 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Finset.univproof · cited by 3,473
- LT.lt.leproof · cited by 2,189
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlaceproof · cited by 604
- mul_nonnegproof · cited by 397
- NumberField.mixedEmbedding.mixedSpacestatement and proof · cited by 239
- Nat.cast_posproof · cited by 113
- Finset.sum_nonnegproof · cited by 91
- NumberField.mixedEmbedding.convexBodySumFunstatement · cited by 14
- NumberField.mixedEmbedding.normAtPlace_nonnegproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.convexBodySum_volume_eq_zero_of_le_zeroproof · cited by 2