Theorems · Definition · order theory
Partition.parts
{α : Type u_1} → [inst : CompleteLattice α] → {s : α} → Partition s → Set αThe collection of parts
- Defined in
- Mathlib.Order.Partition.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CompleteLatticestatement and proof · cited by 1,048
- Partitionstatement and proof · cited by 91
Cited by5
Results whose statement or proof uses this declaration.
- Partition.sSupIndep'statement · cited by 2
- Partition.bot_notMem'statement · cited by 1
- Partition.sSup_eq'statement · cited by 1
- Partition.subset_sUnion_iff_memstatement and proof · cited by 0
- Partition.coe_partsstatement · cited by 0