Theorems · Definition · number theory
NumberField.mixedEmbedding.polarSpace
(K : Type u_1) → [Field K] → Type u_1
The space ℝ^(r₁+r₂) × ℝ^r₂, it is homeomorphic to the realMixedSpace, see
homeoRealMixedSpacePolarSpace.
- Cited by
- 17 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.
Cites4
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.IsComplexproof · cited by 272
Cited by20
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpacestatement and proof · cited by 11
- NumberField.mixedEmbedding.polarSpaceCoordstatement · cited by 11
- NumberField.mixedEmbedding.polarSpaceCoord_symm_applystatement and proof · cited by 3
- NumberField.mixedEmbedding.polarSpaceCoord_targetstatement · cited by 3
- NumberField.mixedEmbedding.volume_preserving_homeoRealMixedSpacePolarSpacestatement · cited by 2
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_fst_ofIsComplexstatement · cited by 2
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_fst_ofIsRealstatement · cited by 2
- NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symmstatement and proof · cited by 1
- NumberField.mixedEmbedding.lintegral_comp_polarSpaceCoord_symmstatement and proof · cited by 1
- NumberField.mixedEmbedding.volume_eq_two_pi_pow_mul_integralproof · cited by 1
- NumberField.mixedEmbedding.measurable_polarSpaceCoord_symmstatement and proof · cited by 1
- NumberField.mixedEmbedding.polarSpaceCoord_target'statement and proof · cited by 1