Theorems · Theorem · global analysis
oneTangentSpaceIcc_def
∀ {x y : ℝ} [h : Fact (x < y)] (z : ↑(Set.Icc x y)),
oneTangentSpaceIcc z = (mfderiv[Set.Icc x y] (Set.projIcc x y ⋯) ↑z) 1- Defined in
- Mathlib.Geometry.Manifold.Instances.Icc
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- ENNRealstatement · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- ContinuousLinearMapstatement · cited by 5,352
- Factstatement and proof · cited by 2,726
- Set.Iccstatement and proof · cited by 1,702
- modelWithCornersSelfstatement and proof · cited by 920
- TangentSpacestatement · cited by 555
- EuclideanSpacestatement · cited by 307
Cited by1
Results whose statement or proof uses this declaration.
- mfderivWithin_projIcc_oneproof · cited by 1