Theorems · Definition · number theory
NumberField.mixedEmbedding.fundamentalCone.idealSet
(K : Type u_1) →
[inst : Field K] →
[NumberField K] →
↥(nonZeroDivisors (Ideal (NumberField.RingOfIntegers K))) → Set (NumberField.mixedEmbedding.mixedSpace K)The intersection between the fundamental cone and the idealLattice defined by the image of
the integral ideal J.
- Cited by
- 8 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.
Cites13
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
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Idealstatement and proof · cited by 4,748
- Submonoidstatement · cited by 3,086
- nonZeroDivisorsstatement and proof · cited by 895
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement and proof · cited by 413
- NumberField.mixedEmbedding.mixedSpacestatement · cited by 239
- NumberField.mixedEmbedding.fundamentalConeproof · cited by 22
- FractionalIdeal.mk0proof · cited by 13
Cited by11
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.idealSetEquivstatement and proof · cited by 4
- NumberField.mixedEmbedding.fundamentalCone.idealSetMapstatement and proof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.idealSetEquiv_applystatement and proof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.mem_idealSetstatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.idealSetEquivNormstatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.idealSetEquiv_symm_applystatement · cited by 0
- NumberField.mixedEmbedding.fundamentalCone.idealSetMap_applystatement and proof · cited by 0
- NumberField.mixedEmbedding.fundamentalCone.card_isPrincipal_dvd_norm_lestatement and proof · cited by 0
- NumberField.mixedEmbedding.fundamentalCone.intNorm_idealSetEquiv_applystatement and proof · cited by 0
- NumberField.mixedEmbedding.fundamentalCone.idealSet.congr_simpstatement and proof · cited by 0
- NumberField.mixedEmbedding.fundamentalCone.preimage_of_IdealSetMapstatement and proof · cited by 0