Theorems · Theorem · manifolds
chartAt_self_eq
∀ {H : Type u_5} [inst : TopologicalSpace H] {x : H}, chartAt H x = OpenPartialHomeomorph.refl HIn the model space, chartAt is always the identity.
- Defined in
- Mathlib.Geometry.Manifold.ChartedSpace
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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.
- TopologicalSpacestatement and proof · cited by 24,529
- OpenPartialHomeomorphstatement · cited by 664
- chartAtstatement · cited by 301
- OpenPartialHomeomorph.reflstatement · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- StructureGroupoid.restriction_mem_maximalAtlas_subtypeproof · cited by 0