Theorems · Theorem · functional analysis
toWeakSpace_closedConvexHull_eq
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E] [inst_3 : Module ℝ E]
[IsScalarTower ℝ 𝕜 E] [inst_5 : TopologicalSpace E] [IsTopologicalAddGroup E] [ContinuousSMul 𝕜 E]
[LocallyConvexSpace ℝ E] {s : Set E},
⇑(toWeakSpace 𝕜 E) '' (closedConvexHull 𝕜) s = (closedConvexHull 𝕜) (⇑(toWeakSpace 𝕜 E) '' s)- Defined in
- Mathlib.Analysis.LocallyConvex.WeakSpace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites27
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
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- 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
- Set.imagestatement and proof · cited by 5,609
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquivstatement · cited by 3,317
- RCLikestatement and proof · cited by 2,829
- IsTopologicalAddGroupstatement and proof · cited by 1,394
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