Theorems · Theorem · functional analysis
closedAbsConvexHull_closure_eq_closedAbsConvexHull
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : SeminormedRing 𝕜] [inst_1 : SMul 𝕜 E] [inst_2 : AddCommMonoid E]
[inst_3 : PartialOrder 𝕜] [inst_4 : TopologicalSpace E] {s : Set E},
(closedAbsConvexHull 𝕜) (closure s) = (closedAbsConvexHull 𝕜) s- Defined in
- Mathlib.Analysis.LocallyConvex.AbsConvex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- closurestatement and proof · cited by 1,254
- SeminormedRingstatement and proof · cited by 446
- ClosureOperatorstatement · cited by 371
- subset_closureproof · cited by 309
- subset_antisymmproof · cited by 150
- ClosureOperator.monotoneproof · cited by 18
- ClosureOperator.idempotentproof · cited by 12
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