Theorems · Theorem · order theory
Finpartition.disjoint
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : OrderBot α] {a : α} (P : Finpartition a), (↑P.parts).PairwiseDisjoint id- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- OrderBotstatement and proof · cited by 1,055
- Latticestatement and proof · cited by 916
- Set.PairwiseDisjointstatement · cited by 275
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement · cited by 184
- Finpartition.supIndepproof · cited by 7
- Finset.SupIndep.pairwiseDisjointproof · cited by 7
Cited by13
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.variation_apply_le_of_forall_enorm_leproof · cited by 3
- Finpartition.equitabilise_auxproof · cited by 3
- MeasureTheory.VectorMeasure.exists_variation_le_add'proof · cited by 2
- Finpartition.eq_of_mem_partsproof · cited by 2
- MeasureTheory.VectorMeasure.exists_lt_sum_of_lt_variationproof · cited by 1
- Finpartition.pairwiseDisjoint_applyproof · cited by 1
- Finpartition.card_monoproof · cited by 1
- Finpartition.sum_restrictproof · cited by 1
- Rel.card_interedges_finpartition_leftproof · cited by 1
- Rel.card_interedges_finpartition_rightproof · cited by 1
- MeasureTheory.AddContent.supClosure_apply_finpartitionproof · cited by 1
- Finpartition.card_bindproof · cited by 1