Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalCone.isCompact_compactSet
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K], IsCompact (NumberField.mixedEmbedding.fundamentalCone.compactSet K)
- Cited by
- 3 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- IsCompactstatement and proof · cited by 1,282
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- Continuous.continuousOnproof · cited by 311
- NumberField.mixedEmbedding.realSpacestatement · cited by 87
- NumberField.Units.dirichletUnitTheorem.w₀proof · cited by 72
- CompactIccSpace.isCompact_Iccproof · cited by 42
- isCompact_singletonproof · cited by 32
- IsCompact.image_of_continuousOnproof · cited by 24
- NumberField.mixedEmbedding.fundamentalCone.compactSetstatement · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.isBounded_normLeOneproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.closure_normLeOne_subsetproof · cited by 1