Theorems · Definition · combinatorics
Finpartition.IsEquipartition
{α : Type u_1} → [inst : DecidableEq α] → {s : Finset α} → Finpartition s → PropAn equipartition is a partition whose parts are all the same size, up to a difference of 1.
- Defined in
- Mathlib.Order.Partition.Equipartition
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 57 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
- SetLike.coeproof · cited by 8,199
- Finset.cardproof · cited by 2,327
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsproof · cited by 184
- Set.EquitableOnproof · cited by 12
Cited by48
Results whose statement or proof uses this declaration.
- SzemerediRegularity.chunkstatement and proof · cited by 11
- SzemerediRegularity.incrementstatement and proof · cited by 5
- SzemerediRegularity.starstatement and proof · cited by 5
- SzemerediRegularity.card_eq_of_mem_parts_chunkstatement and proof · cited by 3
- Finpartition.IsEquipartition.card_parts_eq_averagestatement and proof · cited by 3
- Finpartition.IsEquipartition.card_part_le_average_add_onestatement and proof · cited by 3
- SzemerediRegularity.card_aux₂statement and proof · cited by 2
- SzemerediRegularity.card_chunkstatement and proof · cited by 2
- SzemerediRegularity.card_incrementstatement and proof · cited by 2
- SzemerediRegularity.star_subset_chunkstatement and proof · cited by 2
- Finpartition.IsEquipartition.card_large_parts_eq_modstatement and proof · cited by 2
- Finpartition.IsEquipartition.card_part_eq_average_iffstatement and proof · cited by 2