Theorems · Theorem · convex and discrete geometry
convexJoin_iUnion_right
∀ {ι : Sort u_1} {𝕜 : Type u_2} {E : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid E]
[inst_3 : Module 𝕜 E] (s : Set E) (t : ι → Set E), convexJoin 𝕜 s (⋃ i, t i) = ⋃ i, convexJoin 𝕜 s (t i)- Defined in
- Mathlib.Analysis.Convex.Join
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Set.iUnionstatement and proof · cited by 2,483
- convexJoinstatement and proof · cited by 31
- convexJoin_commproof · cited by 6
- convexJoin_iUnion_leftproof · cited by 1
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