Mathlib Map

Theorems · Theorem · combinatorics

Finpartition.exists_equipartition_card_eq

∀ {α : Type u_1} [inst : DecidableEq α] (s : Finset α) {n : ℕ},
  n ≠ 0 → n ≤ s.card → ∃ P, P.IsEquipartition ∧ P.parts.card = n

We can find equipartitions of arbitrary size.

Defined in
Mathlib.Combinatorics.SimpleGraph.Regularity.Equitabilise
Cited by
1 results in Mathlib
Foundations
Depth 91 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.

Cites21

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.