Theorems · Theorem · order theory
Finpartition.biUnion_parts
∀ {α : Type u_1} [inst : DecidableEq α] {s : Finset α} (P : Finpartition s), P.parts.biUnion id = s- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Finset.biUnionstatement · cited by 217
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- Finpartition.sup_partsproof · cited by 15
- Finset.sup_eq_biUnionproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Finpartition.sum_card_partsproof · cited by 5
- Rel.card_interedges_finpartition_leftproof · cited by 1
- Rel.card_interedges_finpartition_rightproof · cited by 1