Theorems · Theorem · global analysis
BoundarylessManifold.isInteriorPoint
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {H : Type u_3} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {M : Type u_4}
[inst_4 : TopologicalSpace M] [inst_5 : ChartedSpace H M] {x : M} [BoundarylessManifold I M], I.IsInteriorPoint x- Cited by
- 5 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ModelWithCornersstatement and proof · cited by 2,462
- ChartedSpacestatement and proof · cited by 2,397
- BoundarylessManifoldstatement and proof · cited by 30
- ModelWithCorners.IsInteriorPointstatement · cited by 23
- BoundarylessManifold.isInteriorPoint'proof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- isMIntegralCurveOn_Ioo_eqOn_of_contMDiff_boundarylessproof · cited by 2
- isMIntegralCurve_Ioo_eq_of_contMDiff_boundarylessproof · cited by 1
- ModelWithCorners.interior_eq_univproof · cited by 1
- isMIntegralCurveAt_eventuallyEq_of_contMDiffAt_boundarylessproof · cited by 0
- exists_isMIntegralCurveAt_of_contMDiffAt_boundarylessproof · cited by 0