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 = nWe can find equipartitions of arbitrary size.
- 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.
- Finsetstatement and proof · cited by 13,712
- mul_oneproof · cited by 3,885
- Finset.cardstatement and proof · cited by 2,327
- LT.lt.leproof · cited by 2,189
- add_commproof · cited by 1,535
- LT.lt.ne'proof · cited by 1,417
- add_assocproof · cited by 746
- LT.lt.trans_leproof · cited by 678
- mul_addproof · cited by 413
- Finpartitionstatement · cited by 199
- Finpartition.partsstatement · cited by 184
- pos_iff_ne_zeroproof · cited by 180
Cited by1
Results whose statement or proof uses this declaration.
- szemeredi_regularityproof · cited by 1