Theorems · Theorem · real analysis
QuadraticMap.hasLineDerivAt
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : AddCommGroup E]
[inst_2 : Module 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] (f : QuadraticMap 𝕜 E F) (a b : E),
HasLineDerivAt 𝕜 (⇑f) (QuadraticMap.polar (⇑f) a b) a b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- Modulestatement and proof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupstatement and proof · cited by 12,871
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- one_smulproof · cited by 1,374
- zero_smulproof · cited by 716
Cited by2
Results whose statement or proof uses this declaration.
- QuadraticMap.lineDerivproof · cited by 0
- QuadraticMap.lineDifferentiableAtproof · cited by 0