Theorems · Theorem · convex and discrete geometry
intrinsicFrontier_singleton
∀ {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] (x : P), intrinsicFrontier 𝕜 {x} = ∅- Defined in
- Mathlib.Analysis.Convex.Intrinsic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- AddTorsorstatement and proof · cited by 1,657
- affineSpanproof · cited by 417
- frontierproof · cited by 214
- Set.image_emptyproof · cited by 73
- intrinsicFrontierstatement · cited by 21
- AffineSubspace.preimage_coe_affineSpan_singletonproof · cited by 3
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