EuclideanGeometry.hasFDerivAt_inversion
∀ {F : Type u_2} [inst : NormedAddCommGroup F] [inst_1 : InnerProductSpace ℝ F] {c x : F} {R : ℝ},
x ≠ c → HasFDerivAt (EuclideanGeometry.inversion c R) ((R / dist x c) ^ 2 • ↑↑(ℝ ∙ (x - c))ᗮ.reflection) xFormula for the Fréchet derivative of EuclideanGeometry.inversion c R.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites76
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- SetLike.coeproof · cited by 8,199
- Submodulestatement · cited by 7,192
- Norm.normproof · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.