Theorems · Theorem · real analysis
hasFDerivWithinAt_const
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] {F : Type u_3} [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
[inst_6 : TopologicalSpace F] (c : F) (x : E) (s : Set E), HasFDerivWithinAt (fun x => c) 0 s x- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Const
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- nhdsWithinproof · cited by 1,912
- SProd.sprodproof · cited by 1,750
- HasFDerivWithinAtstatement · cited by 356
- hasFDerivAtFilter_constproof · cited by 10
Cited by8
Results whose statement or proof uses this declaration.
- fderivWithin_const_applyproof · cited by 4
- HasFDerivWithinAt.smul_constproof · cited by 2
- hasFDerivWithinAt_intCastproof · cited by 0
- HasFDerivWithinAt.multilinear_compproof · cited by 0
- hasFDerivWithinAt_natCastproof · cited by 0
- hasFDerivWithinAt_ofNatproof · cited by 0
- hasFDerivWithinAt_oneproof · cited by 0
- hasFDerivWithinAt_zeroproof · cited by 0