Theorems · Theorem · global analysis
uniqueMDiffWithinAt_univ
∀ {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}, UniqueMDiffAt[Set.univ] x- Defined in
- Mathlib.Geometry.Manifold.MFDeriv.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Set.rangeproof · cited by 4,705
- Set.univstatement · cited by 3,945
- ModelWithCornersstatement and proof · cited by 2,462
- ChartedSpacestatement and proof · cited by 2,397
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivproof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphproof · cited by 851
- PartialEquiv.toFunproof · cited by 821
Cited by14
Results whose statement or proof uses this declaration.
- IsOpen.uniqueMDiffWithinAtproof · cited by 2
- mfderiv_negproof · cited by 1
- mfderiv_prodMkproof · cited by 1
- hasMFDerivAt_uniqueproof · cited by 1
- mfderiv_prodMapproof · cited by 0
- VectorField.mlieBracket_add_leftproof · cited by 0
- VectorField.mlieBracket_add_rightproof · cited by 0
- VectorField.mlieBracket_const_smul_leftproof · cited by 0
- VectorField.mlieBracket_const_smul_rightproof · cited by 0
- VectorField.mlieBracket_smul_leftproof · cited by 0
- VectorField.mlieBracket_smul_rightproof · cited by 0
- mfderiv_sumInlproof · cited by 0