Theorems · Theorem · convex and discrete geometry
strictConvex_univ
∀ {𝕜 : Type u_1} {E : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : TopologicalSpace E]
[inst_3 : AddCommMonoid E] [inst_4 : SMul 𝕜 E], StrictConvex 𝕜 Set.univ- Defined in
- Mathlib.Analysis.Convex.Strict
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Set.univstatement and proof · cited by 3,945
- Set.mem_univproof · cited by 416
- StrictConvexstatement · cited by 71
- interior_univproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- StrictConvex.preimage_smulproof · cited by 0