Theorems · Theorem · convex and discrete geometry
ProperCone.innerDual_union
∀ {E : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] [inst_2 : CompleteSpace E]
(s t : Set E), ProperCone.innerDual (s ∪ t) = ProperCone.innerDual s ⊓ ProperCone.innerDual t- Defined in
- Mathlib.Analysis.Convex.Cone.InnerDual
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 186 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.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- CompleteSpacestatement and proof · cited by 2,532
- le_antisymmproof · cited by 2,068
- le_infproof · cited by 107
- ProperConestatement · cited by 57
- ProperCone.innerDualstatement and proof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- ProperCone.innerDual_insertproof · cited by 0