Theorems · Theorem · convex and discrete geometry
intrinsicFrontier_subset
∀ {𝕜 : Type u_1} {V : Type u_2} {P : Type u_5} [inst : Ring 𝕜] [inst_1 : AddCommGroup V] [inst_2 : Module 𝕜 V]
[inst_3 : TopologicalSpace P] [inst_4 : AddTorsor V P] {s : Set P}, IsClosed s → intrinsicFrontier 𝕜 s ⊆ s- Defined in
- Mathlib.Analysis.Convex.Intrinsic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- IsClosedstatement and proof · cited by 1,639
- Set.image_subset_iffproof · cited by 203
- IsClosed.preimageproof · cited by 138
- continuous_induced_domproof · cited by 47
- intrinsicFrontierstatement · cited by 21
- IsClosed.frontier_subsetproof · cited by 2
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