Theorems · Theorem · real analysis
hasDerivAtFilter_const
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] (L : Filter (𝕜 × 𝕜)) (c : F), HasDerivAtFilter (fun x => c) 0 L- Defined in
- Mathlib.Analysis.Calculus.Deriv.Basic
- 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Filterstatement and proof · cited by 8,121
- HasDerivAtFilterstatement · cited by 63
- hasFDerivAtFilter_constproof · cited by 10
- HasFDerivAtFilter.hasDerivAtFilterproof · cited by 9
Cited by8
Results whose statement or proof uses this declaration.
- hasStrictDerivAt_constproof · cited by 16
- hasDerivAt_constproof · cited by 15
- hasDerivWithinAt_constproof · cited by 13
- hasDerivAtFilter_zeroproof · cited by 2
- hasDerivAtFilter_intCastproof · cited by 0
- hasDerivAtFilter_natCastproof · cited by 0
- hasDerivAtFilter_ofNatproof · cited by 0
- hasDerivAtFilter_oneproof · cited by 0