Theorems · Theorem · order theory
Finpartition.isPartition_parts
∀ {α : Type u_1} (f : Finpartition Set.univ), Setoid.IsPartition ↑f.partsA finpartition gives rise to a setoid partition
- Defined in
- Mathlib.Data.Setoid.Partition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.univstatement and proof · cited by 3,945
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- Setoid.IsPartitionstatement · cited by 18
- Finpartition.sup_partsproof · cited by 15
- Finpartition.bot_notMemproof · cited by 7
- Finpartition.supIndepproof · cited by 7
- Finset.SupIndep.pairwiseDisjointproof · cited by 7
- Finset.sup_id_set_eq_sUnionproof · cited by 4
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