Theorems · Theorem · global analysis
uniqueMDiffOn_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], UniqueMDiff[Set.univ]- Defined in
- Mathlib.Geometry.Manifold.MFDeriv.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.univstatement · cited by 3,945
- ModelWithCornersstatement and proof · cited by 2,462
- ChartedSpacestatement and proof · cited by 2,397
- isOpen_univproof · cited by 112
- UniqueMDiffOnstatement · cited by 48
- IsOpen.uniqueMDiffOnproof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- ContMDiffWithinAt.mpullback_vectorField_preimageproof · cited by 4
- ContMDiff.contMDiff_tangentMapproof · cited by 3
- MDifferentiableWithinAt.mpullback_vectorField_preimageproof · cited by 3
- VectorField.mpullback_mlieBracketWithinproof · cited by 3
- VectorField.mpullback_mlieBracketproof · cited by 2
- ContMDiffAt.mfderivproof · cited by 2
- VectorField.leibniz_identity_mlieBracket_applyproof · cited by 1
- ContMDiff.continuous_tangentMapproof · cited by 0
- ContDiff.mlieBracket_vectorFieldproof · cited by 0
- ContMDiffAt.mlieBracket_vectorFieldproof · cited by 0