Theorems · Definition · order theory
Finpartition.parts
{α : Type u_1} → [inst : Lattice α] → [inst_1 : OrderBot α] → {a : α} → Finpartition a → Finset αThe elements of the finite partition of a
- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 184 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 18 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- OrderBotstatement and proof · cited by 1,055
- Latticestatement and proof · cited by 916
- Finpartitionstatement and proof · cited by 199
Cited by209
Results whose statement or proof uses this declaration.
- Finpartition.IsEquipartitionproof · cited by 45
- Finpartition.partproof · cited by 22
- MeasureTheory.preVariationFunproof · cited by 17
- MeasureTheory.IsSetSemiring.disjointOfDiffUnionproof · cited by 16
- Finpartition.lestatement and proof · cited by 15
- Finpartition.sup_partsstatement · cited by 15
- Finpartition.IsUniformproof · cited by 13
- Finpartition.disjointstatement · cited by 13
- MeasureTheory.IsSetSemiring.disjointOfDiffproof · cited by 11
- SzemerediRegularity.chunkstatement and proof · cited by 11
- Finpartition.nonUniformsproof · cited by 11
- MeasureTheory.IsSetSemiring.disjointOfUnionproof · cited by 10
Showing the 200 most cited of 209.