Theorems · Theorem · order theory
Finpartition.supIndep
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : OrderBot α] {a : α} (self : Finpartition a), self.parts.SupIndep idThe partition is supremum-independent
- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- OrderBotstatement and proof · cited by 1,055
- Latticestatement and proof · cited by 916
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement · cited by 184
- Finset.SupIndepstatement · cited by 52
Cited by8
Results whose statement or proof uses this declaration.
- Finpartition.disjointproof · cited by 13
- Finpartition.sum_card_partsproof · cited by 5
- Finpartition.copyproof · cited by 3
- MeasureTheory.IsSetSemiring.pairwiseDisjoint_disjointOfDiffUnionproof · cited by 2
- Finpartition.exists_le_of_leproof · cited by 1
- MeasureTheory.IsSetSemiring.pairwiseDisjoint_disjointOfDiffproof · cited by 1
- MeasureTheory.IsSetSemiring.pairwiseDisjoint_disjointOfUnion_of_memproof · cited by 1
- Finpartition.isPartition_partsproof · cited by 0