Theorems · Theorem · several complex variables
analyticWithinAt_const
∀ {𝕜 : Type u_2} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} {F : Type u_4} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {v : F} {s : Set E} {x : E},
AnalyticWithinAt 𝕜 (fun x => v) s x- Defined in
- Mathlib.Analysis.Analytic.Constructions
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 176 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.
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- AnalyticWithinAtstatement · cited by 96
- analyticAt_constproof · cited by 70
- AnalyticAt.analyticWithinAtproof · cited by 19
Cited by6
Results whose statement or proof uses this declaration.
- AnalyticWithinAt.powproof · cited by 4
- Finset.analyticWithinAt_fun_prodproof · cited by 3
- Finset.analyticWithinAt_sumproof · cited by 3
- AnalyticWithinAt.aeval_polynomialproof · cited by 2
- AnalyticWithinAt.curry_leftproof · cited by 1
- AnalyticWithinAt.curry_rightproof · cited by 1