Theorems · Theorem · combinatorics
Finset.offDiag_card
∀ {α : Type u_1} (s : Finset α), s.offDiag.card = s.card * s.card - s.card- Defined in
- Mathlib.Data.Finset.Prod
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Multisetproof · cited by 2,627
- Finset.cardstatement and proof · cited by 2,327
- sqproof · cited by 280
- Multiset.Nodupproof · cited by 148
- Finset.offDiagstatement and proof · cited by 44
- Finset.casesOnproof · cited by 17
- List.length_offDiagproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- SzemerediRegularity.energy_incrementproof · cited by 1
- Finpartition.energy_le_oneproof · cited by 1
- Sym2.card_image_offDiagproof · cited by 1
- Finpartition.isUniform_oneproof · cited by 1
- Finpartition.IsEquipartition.card_interedges_sparsePairs_le'proof · cited by 1
- Finpartition.IsEquipartition.card_biUnion_offDiag_le'proof · cited by 1
- Finset.offDiag_singletonproof · cited by 0