Theorems · Theorem · combinatorics
Fintype.card_sum
∀ {α : Type u_1} {β : Type u_2} [inst : Fintype α] [inst_1 : Fintype β],
Fintype.card (α ⊕ β) = Fintype.card α + Fintype.card β- Defined in
- Mathlib.Data.Fintype.Sum
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Finset.univproof · cited by 3,473
- Fintype.cardstatement · cited by 1,386
- Finset.card_disjSumproof · cited by 3
Cited by12
Results whose statement or proof uses this declaration.
- Nat.card_sumproof · cited by 5
- DihedralGroup.cardproof · cited by 2
- corners_theoremproof · cited by 2
- Fintype.card_subtype_or_disjointproof · cited by 2
- Matrix.Pivot.exists_list_transvec_mul_mul_list_transvec_eq_diagonal_auxproof · cited by 1
- Matrix.J_det_mul_J_detproof · cited by 1
- rothNumberNat_le_ruzsaSzemerediNumberNatproof · cited by 1
- card_derangements_fin_add_twoproof · cited by 1
- QuaternionGroup.cardproof · cited by 1
- SimpleGraph.TripartiteFromTriangles.farFromTriangleFreeproof · cited by 0
- exists_signed_sum'proof · cited by 0
- Fintype.card_subtype_orproof · cited by 0