Theorems · Theorem · combinatorics
Finset.card_univ
∀ {α : Type u_1} [inst : Fintype α], Finset.univ.card = Fintype.card α- Defined in
- Mathlib.Data.Fintype.Card
- Cited by
- 58 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- Fintype
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.univstatement · cited by 3,473
- Finset.cardstatement · cited by 2,327
- Fintype.cardstatement · cited by 1,386
Cited by58
Results whose statement or proof uses this declaration.
- AffineIndependent.finrank_vectorSpanproof · cited by 9
- Finset.card_eq_iff_eq_univproof · cited by 6
- Nat.card_funproof · cited by 5
- Finset.eq_univ_of_cardproof · cited by 5
- Ideal.ncard_primesOver_mul_ramificationIdxIn_mul_inertiaDegInproof · cited by 5
- NumberField.mixedEmbedding.finrankproof · cited by 4
- alternatingGroup.isMultiplyPretransitiveproof · cited by 4
- Matrix.charpoly_degree_eq_dimproof · cited by 4
- IsPrimitiveRoot.sub_one_norm_eq_eval_cyclotomicproof · cited by 3
- AffineIndependent.affineSpan_eq_of_le_of_card_eq_finrank_add_oneproof · cited by 3
- MultilinearMap.norm_image_sub_le_of_boundproof · cited by 3
- SimpleGraph.antitoneOn_extremalNumber_div_choose_twoproof · cited by 3