Theorems · Theorem · convex and discrete geometry
intrinsicClosure_sdiff_intrinsicFrontier
∀ {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),
intrinsicClosure 𝕜 s \ intrinsicFrontier 𝕜 s = intrinsicInterior 𝕜 s- Defined in
- Mathlib.Analysis.Convex.Intrinsic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- AddTorsorstatement and proof · cited by 1,657
- closureproof · cited by 1,254
- interiorproof · cited by 714
- affineSpanproof · cited by 417
- frontierproof · cited by 214
Cited by2
Results whose statement or proof uses this declaration.
- closure_sdiff_intrinsicFrontierproof · cited by 1
- intrinsicClosure_diff_intrinsicFrontierproof · cited by 0