Theorems · Theorem · convex and discrete geometry
ConvexBody.convex
∀ {V : Type u_1} [inst : TopologicalSpace V] [inst_1 : AddCommGroup V] [inst_2 : Module ℝ V] (K : ConvexBody V),
Convex ℝ ↑K- Defined in
- Mathlib.Analysis.Convex.Body
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coestatement · cited by 8,199
- Convexstatement · cited by 551
- ConvexBodystatement and proof · cited by 29
- ConvexBody.convex'proof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- ConvexBody.smul_le_of_leproof · cited by 1
- ConvexBody.zero_mem_of_symmetricproof · cited by 1
- ConvexBody.iInter_smul_eq_selfproof · cited by 1