Theorems · Theorem · order theory
Set.iUnion_vadd_set
∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] (s : Set α) (t : Set β), ⋃ a ∈ s, a +ᵥ t = s +ᵥ t- Cited by
- 10 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
- Assumes
- VAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Set.iUnionstatement · cited by 2,483
- HVAdd.hVAddstatement and proof · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddSetstatement · cited by 403
- Set.vaddstatement · cited by 72
- Set.iUnion_image_leftproof · cited by 15
Cited by10
Results whose statement or proof uses this declaration.
- IsOpen.vadd_leftproof · cited by 3
- IsUpperSet.add_leftproof · cited by 3
- AddAction.IsBlock.disjoint_vadd_set_vaddproof · cited by 2
- add_lowerClosureproof · cited by 2
- add_upperClosureproof · cited by 2
- TotallyBounded.convexHullproof · cited by 1
- IsApproximateAddSubgroup.nsmul_inter_nsmul_covByVAdd_sq_inter_sqproof · cited by 1
- MeasureTheory.AddSubgroup.index_mul_measureproof · cited by 0
- set_vadd_closure_subsetproof · cited by 0
- Set.add_addSubgroupClosureproof · cited by 0