Theorems · Theorem · order theory
Finpartition.ofPairwiseDisjoint_parts
∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : OrderBot α] [inst_2 : DecidableEq α] (parts : Finset α)
(hdisjoint : (↑parts).PairwiseDisjoint id), (Finpartition.ofPairwiseDisjoint parts hdisjoint).parts = parts.erase ⊥- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- Finset.supstatement · cited by 530
- Finset.erasestatement · cited by 455
- Set.PairwiseDisjointstatement and proof · cited by 275
- Finpartition.partsstatement and proof · cited by 184
- DistribLatticestatement and proof · cited by 150
- Finpartition.ofPairwiseDisjointstatement and proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Finpartition.sum_ofPairwiseDisjoint_eq_sumproof · cited by 1
- MeasureTheory.VectorMeasure.le_variationproof · cited by 1