Theorems · Theorem · global analysis
lineDerivWithin_univ
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {E : Type u_3} [inst_3 : AddCommGroup E] [inst_4 : Module 𝕜 E] {f : E → F} {x v : E},
lineDerivWithin 𝕜 f Set.univ x v = lineDeriv 𝕜 f x v- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 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.
- 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
- Set.univstatement · cited by 3,945
- derivproof · cited by 676
- lineDerivstatement · cited by 43
- lineDerivWithinstatement · cited by 14
- derivWithin_univproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Filter.EventuallyEq.lineDeriv_eqproof · cited by 0