Theorems · Definition · group theory
Set.div
{α : Type u_2} → [Div α] → Div (Set α)The pointwise division of sets s / t is defined as {x / y | x ∈ s, y ∈ t} in locale
Pointwise.
- Cited by
- 112 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 17 definitions · uses no axioms
- Assumes
- Div
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.image2proof · cited by 311
Cited by113
Results whose statement or proof uses this declaration.
- Set.one_mem_div_iffstatement · cited by 3
- Set.div_subset_div_leftstatement · cited by 2
- Filter.le_div_iffstatement · cited by 2
- Set.image_divstatement · cited by 2
- Set.div_subset_div_rightstatement · cited by 1
- Set.div_subset_rangestatement · cited by 1
- Set.div_zero_subsetstatement · cited by 1
- Set.image2_divstatement · cited by 1
- IsLUB.divstatement · cited by 1
- Set.singleton_div_singletonstatement · cited by 1
- IsUpperSet.div_leftstatement · cited by 1
- IsUpperSet.div_rightstatement · cited by 1