Theorems · Theorem · global analysis
ModelWithCorners.locallyCompactSpace
∀ {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] [LocallyCompactSpace E]
(I : ModelWithCorners 𝕜 E H), LocallyCompactSpace H- Cited by
- 5 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- 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
- Filterproof · cited by 8,121
- Set.imageproof · cited by 5,609
- nhdsproof · cited by 5,554
- Set.rangeproof · cited by 4,705
- ModelWithCornersstatement and proof · cited by 2,462
- IsCompactproof · cited by 1,282
- PartialEquiv.toFunproof · cited by 821
Cited by5
Results whose statement or proof uses this declaration.
- ae_eq_zero_of_integral_contMDiff_smul_eq_zeroproof · cited by 3
- SmoothPartitionOfUnity.exists_isSubordinateproof · cited by 3
- SmoothBumpCovering.exists_isSubordinateproof · cited by 2
- Manifold.locallyCompact_of_finiteDimensionalproof · cited by 0
- Manifold.metrizableSpaceproof · cited by 0