Theorems · Theorem · convex and discrete geometry
AmpleSet.union
∀ {F : Type u_1} [inst : AddCommGroup F] [inst_1 : Module ℝ F] [inst_2 : TopologicalSpace F] {s t : Set F},
AmpleSet s → AmpleSet t → AmpleSet (s ∪ t)The union of two ample sets 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
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Cites15
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- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · 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
- Set.univproof · cited by 3,945
- convexHullproof · cited by 163
- Set.subset_union_leftproof · cited by 142
- Set.subset_union_rightproof · cited by 123
- Set.univ_subset_iffproof · cited by 49
- connectedComponentInproof · cited by 33
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