Theorems · Definition · number theory
NumberField.mixedEmbedding.fundamentalCone.intNorm
{K : Type u_1} →
[inst : Field K] → [inst_1 : NumberField K] → ↑(NumberField.mixedEmbedding.fundamentalCone.integerSet K) → ℕThe mixedEmbedding.norm of a : integerSet K as a natural number, see also
intNorm_coe.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 332 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
- Fieldstatement and proof · cited by 7,404
- Set.Elemstatement and proof · cited by 7,166
- NumberFieldstatement and proof · cited by 653
- NumberField.mixedEmbedding.mixedSpacestatement · cited by 239
- Algebra.normproof · cited by 155
- NumberField.mixedEmbedding.fundamentalCone.integerSetstatement and proof · cited by 22
- NumberField.mixedEmbedding.fundamentalCone.preimageOfMemIntegerSetproof · cited by 14
Cited by5
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.intNorm_coestatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.quotIntNormproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.intNorm_idealSetEquiv_applystatement · cited by 0
- NumberField.mixedEmbedding.fundamentalCone.quotIntNorm_applystatement · cited by 0
- NumberField.mixedEmbedding.fundamentalCone.card_isPrincipal_dvd_norm_leproof · cited by 0