Theorems · Theorem · number theory
NumberField.mixedEmbedding.convexBodySum_volume_eq_zero_of_le_zero
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] {B : ℝ},
B ≤ 0 → MeasureTheory.volume (NumberField.mixedEmbedding.convexBodySum K B) = 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 297 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.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Set.extproof · cited by 2,266
- Nat.cast_zeroproof · cited by 1,870
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement · cited by 604
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.exists_ne_zero_mem_ideal_of_norm_leproof · cited by 2
- NumberField.mixedEmbedding.convexBodySum_volumeproof · cited by 1