Theorems · Definition · global analysis
modelWithCornersEuclideanHalfSpace
(n : ℕ) → [inst : NeZero n] → ModelWithCorners ℝ (EuclideanSpace ℝ (Fin n)) (EuclideanHalfSpace n)
Definition of the model with corners (EuclideanSpace ℝ (Fin n), EuclideanHalfSpace n), used as
a model for manifolds with boundary. In the scope Manifold, use the shortcut 𝓡∂ n.
- Defined in
- Mathlib.Geometry.Manifold.Instances.Real
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- ENNRealstatement · cited by 9,879
- Set.ofPredproof · cited by 6,101
- Set.univproof · cited by 3,945
- ModelWithCornersstatement · cited by 2,462
- Function.updateproof · cited by 502
- WithLp.ofLpproof · cited by 323
- EuclideanSpacestatement and proof · cited by 307
- EuclideanHalfSpacestatement · cited by 47
Cited by36
Results whose statement or proof uses this declaration.
- Manifold.riemannianEDist_le_pathELengthproof · cited by 4
- contMDiff_subtypeVal_Iccstatement · cited by 4
- contMDiffOn_projIccstatement · cited by 4
- isImmersionOfComplement_subtypeVal_Iccstatement and proof · cited by 3
- frontier_range_modelWithCornersEuclideanHalfSpacestatement and proof · cited by 2
- Manifold.riemannianEDist_defstatement and proof · cited by 2
- contMDiffOn_comp_projIcc_iffstatement and proof · cited by 2
- Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIccstatement and proof · cited by 2
- mfderiv_subtypeVal_Icc_onestatement · cited by 1
- oneTangentSpaceIccstatement · cited by 1
- oneTangentSpaceIcc_defstatement and proof · cited by 1
- mdifferentiableWithinAt_comp_projIcc_iffstatement and proof · cited by 1