Theorems · Theorem · combinatorics
Sym2.card_subtype_not_diag
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α],
Fintype.card { a // ¬a.IsDiag } = (Fintype.card α).choose 2- Defined in
- Mathlib.Data.Sym.Card
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
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.
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.univproof · cited by 3,473
- Finset.cardproof · cited by 2,327
- SProd.sprodproof · cited by 1,750
- Fintype.cardstatement and proof · cited by 1,386
- Finset.filterproof · cited by 949
- Finset.imageproof · cited by 910
- Sym2statement and proof · cited by 737
- Nat.choosestatement and proof · cited by 494
- Finset.mem_univproof · cited by 361
- Sym2.mkproof · cited by 332
Cited by2
Results whose statement or proof uses this declaration.
- Sym2.natCard_subtype_not_diagproof · cited by 1
- Sym2.card_diagSet_complproof · cited by 1