Theorems · Theorem · convex and discrete geometry
ampleSet_empty
∀ {F : Type u_1} [inst : AddCommGroup F] [inst_1 : Module ℝ F] [inst_2 : TopologicalSpace F], AmpleSet ∅The empty set in a vector space is ample.
- Defined in
- Mathlib.Analysis.Convex.AmpleSet
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- 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
- AmpleSetstatement · cited by 10
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.