Theorems · Definition · number theory
NumberField.mixedEmbedding.fundamentalCone.normLeOne
(K : Type u_1) → [inst : Field K] → [NumberField K] → Set (NumberField.mixedEmbedding.mixedSpace K)
The set of elements of the fundamentalCone of norm ≤ 1.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 326 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- Set.ofPredproof · cited by 6,101
- NumberFieldstatement and proof · cited by 653
- NumberField.mixedEmbedding.mixedSpacestatement and proof · cited by 239
- NumberField.mixedEmbedding.normproof · cited by 46
- NumberField.mixedEmbedding.fundamentalConeproof · cited by 22
Cited by14
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.normLeOne_eq_preimagestatement · cited by 4
- NumberField.mixedEmbedding.fundamentalCone.volume_normLeOnestatement · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.measurableSet_normLeOnestatement · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.normLeOne_eq_preimage_imagestatement and proof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.subset_interior_normLeOnestatement · cited by 1
- NumberField.Ideal.tendsto_norm_le_and_mk_eq_div_atTopproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.closure_normLeOne_subsetstatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.volume_frontier_normLeOnestatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.volume_interior_eq_volume_closurestatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.isBounded_normLeOnestatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.mem_normLeOnestatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOnestatement and proof · cited by 1