Theorems · Definition · number theory
NumberField.mixedEmbedding.realMixedSpace
(K : Type u_1) → [Field K] → Type u_1
The real mixed space ℝ^r₁ × (ℝ × ℝ)^r₂ with (r₁, r₂) the signature of K.
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- NumberField.InfinitePlaceproof · cited by 604
- NumberField.InfinitePlace.IsRealproof · cited by 301
- NumberField.InfinitePlace.IsComplexproof · cited by 272
Cited by40
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.polarCoordstatement · cited by 15
- NumberField.mixedEmbedding.polarCoordRealstatement · cited by 13
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpacestatement and proof · cited by 11
- NumberField.mixedEmbedding.mixedSpaceToRealMixedSpacestatement · cited by 6
- NumberField.mixedEmbedding.polarCoord_symm_applystatement · cited by 4
- NumberField.mixedEmbedding.polarCoord_symm_eqstatement · cited by 3
- NumberField.mixedEmbedding.polarSpaceCoord_targetstatement · cited by 3
- NumberField.mixedEmbedding.det_fderivPolarCoordRealSymmstatement and proof · cited by 2
- NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symmstatement and proof · cited by 2
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_fst_ofIsComplexstatement and proof · cited by 2
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_fst_ofIsRealstatement and proof · cited by 2
- NumberField.mixedEmbedding.polarCoordReal_symm_target_ae_eq_univstatement and proof · cited by 2