Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalCone.integerSetTorsionSMul_smul_coe
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (x : ↥(NumberField.Units.torsion K))
(x_1 : ↑(NumberField.mixedEmbedding.fundamentalCone.integerSet K)), ↑(x • x_1) = ↑x • ↑x_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 330 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- Set.Elemstatement and proof · cited by 7,166
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement and proof · cited by 413
- NumberField.mixedEmbedding.mixedSpacestatement · cited by 239
- NumberField.Units.torsionstatement and proof · cited by 53
- NumberField.mixedEmbedding.fundamentalCone.integerSetstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.