Theorems · Theorem · global analysis
contDiffWithinAtProp_id
∀ {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} {n : WithTop ℕ∞}
(x : H), ContDiffWithinAtProp I I n id Set.univ x- Defined in
- Mathlib.Geometry.Manifold.ContMDiff.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- ENatstatement and proof · cited by 4,985
- Set.rangeproof · cited by 4,705
- Set.univstatement · cited by 3,945
- WithTopstatement and proof · cited by 3,754
- ModelWithCornersstatement and proof · cited by 2,462
- PartialEquiv.toFunproof · cited by 821
- ModelWithCorners.toFun'proof · cited by 373
- ContDiffWithinAtproof · cited by 283
Cited by5
Results whose statement or proof uses this declaration.
- contMDiff_idproof · cited by 11
- contMDiffOn_symm_of_mem_maximalAtlasproof · cited by 5
- contMDiffOn_of_mem_maximalAtlasproof · cited by 4
- contMDiffOn_of_mem_contDiffGroupoidproof · cited by 1
- contMDiff_inclusionproof · cited by 1