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Theorems · Definition · number theory

NumberField.mixedEmbedding.fundamentalCone.integerSet

(K : Type u_1) → [inst : Field K] → [NumberField K] → Set (NumberField.mixedEmbedding.mixedSpace K)

The intersection between the fundamental cone and the integerLattice.

Defined in
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone
Cited by
22 results in Mathlib
Foundations
Depth 326 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.mixedEmbedding.fundamentalCone.preimageOfMemIntegerSet · cited by 14fundamentalCone.preimageO…NumberField.mixedEmbedding.fundamentalCone.mixedEmbedding_preimageOfMemIntegerSet · cited by 5fundamentalCone.mixedEmbe…NumberField.mixedEmbedding.fundamentalCone.intNorm · cited by 4fundamentalCone.intNormNumberField.mixedEmbedding.fundamentalCone.mem_integerSet · cited by 4fundamentalCone.mem_integ…NumberField.mixedEmbedding.fundamentalCone.idealSetEquiv · cited by 4fundamentalCone.idealSetE…NumberField.mixedEmbedding.fundamentalCone.integerSetToAssociates · cited by 3fundamentalCone.integerSe…NumberField.mixedEmbedding.fundamentalCone.idealSetMap · cited by 2fundamentalCone.idealSetM…NumberField.mixedEmbedding.fundamentalCone.integerSetEquiv · cited by 2fundamentalCone.integerSe…NumberField.mixedEmbedding.fundamentalCone.integerSetEquivNorm · cited by 2fundamentalCone.integerSe…NumberField.mixedEmbedding.fundamentalCone.idealSetEquiv_apply · cited by 2fundamentalCone.idealSetE…NumberField.mixedEmbedding.fundamentalCone.intNorm_coe · cited by 1fundamentalCone.intNorm_c…NumberField.mixedEmbedding.fundamentalCone.integerSetQuotEquivAssociates · cited by 1fundamentalCone.integerSe…NumberField.mixedEmbedding.fundamentalCone.integerSetTorsionSMul_smul_coe · cited by 1fundamentalCone.integerSe…NumberField.mixedEmbedding.fundamentalCone.preimageOfMemIntegerSet_mixedEmbedding · cited by 1fundamentalCone.preimageO…NumberField.mixedEmbedding.fundamentalCone.quotIntNorm · cited by 1fundamentalCone.quotIntNo…Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeField · cited by 7404FieldNumberField · cited by 653NumberFieldNumberField.mixedEmbedding.mixedSpace · cited by 239mixedEmbedding.mixedSpaceNumberField.mixedEmbedding.fundamentalCone · cited by 22mixedEmbedding.fundamenta…NumberField.mixedEmbedding.integerLattice · cited by 5mixedEmbedding.integerLat…fundamentalCone.integerSetCITED BYCITES

Cites7

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Cited by32

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