Theorems · Definition · number theory
NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace
(K : Type u_1) → [inst : Field K] → NumberField.mixedEmbedding.realMixedSpace K ≃ₜ NumberField.mixedEmbedding.polarSpace K
The homeomorphism between the realMixedSpace and the polarSpace.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 175 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.
Cites11
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
- Homeomorphstatement · cited by 725
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.InfinitePlace.IsRealstatement · cited by 301
- NumberField.InfinitePlace.IsComplexstatement · cited by 272
- MeasurableEquivproof · cited by 269
- MeasurableEquiv.toEquivproof · cited by 37
- NumberField.mixedEmbedding.realMixedSpacestatement and proof · cited by 34
- NumberField.mixedEmbedding.polarSpacestatement and proof · cited by 17
- NumberField.mixedEmbedding.measurableEquivRealMixedSpacePolarSpaceproof · cited by 0
Cited by12
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.polarSpaceCoordproof · cited by 11
- NumberField.mixedEmbedding.polarSpaceCoord_targetstatement · cited by 3
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_fst_ofIsComplexstatement · cited by 2
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_fst_ofIsRealstatement · cited by 2
- NumberField.mixedEmbedding.volume_preserving_homeoRealMixedSpacePolarSpacestatement · cited by 2
- NumberField.mixedEmbedding.lintegral_comp_polarSpaceCoord_symmproof · cited by 1
- NumberField.mixedEmbedding.measurable_polarSpaceCoord_symmproof · cited by 1
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_applystatement · cited by 0
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_sndstatement · cited by 0
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_symm_applystatement · cited by 0
- NumberField.mixedEmbedding.polarSpaceCoord_applystatement · cited by 0
- NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symmproof · cited by 0