Theorems · Theorem · combinatorics
Finpartition.IsEquipartition.filter_ne_average_add_one_eq_average
∀ {α : Type u_1} [inst : DecidableEq α] {s : Finset α} {P : Finpartition s},
P.IsEquipartition →
{p ∈ P.parts | ¬p.card = s.card / P.parts.card + 1} = {p ∈ P.parts | p.card = s.card / P.parts.card}- Defined in
- Mathlib.Order.Partition.Equipartition
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 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.
Cites8
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.cardstatement · cited by 2,327
- Finset.filterstatement · cited by 949
- Finset.extproof · cited by 565
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- Finpartition.IsEquipartitionstatement and proof · cited by 45
- Finpartition.IsEquipartition.card_part_eq_average_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Finpartition.IsEquipartition.card_large_parts_eq_modproof · cited by 2
- Finpartition.IsEquipartition.card_small_parts_eq_modproof · cited by 1