Theorems · Theorem · combinatorics
Fintype.card_unique
∀ {α : Type u_1} [Unique α] [h : Fintype α], Fintype.card α = 1- Defined in
- Mathlib.Data.Fintype.Card
- Cited by
- 59 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.
Cites5
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
- Fintype.cardstatement · cited by 1,386
- Uniquestatement and proof · cited by 400
- Fintype.ofSubsingletonproof · cited by 4
- Fintype.card_ofSubsingletonproof · cited by 3
Cited by59
Results whose statement or proof uses this declaration.
- Set.powersetCard.cardproof · cited by 5
- rank_eq_zero_iffproof · cited by 3
- Subgroup.card_botproof · cited by 3
- Module.Invertible.free_iff_linearEquivproof · cited by 3
- Fintype.card_eq_one_iff_nonempty_uniqueproof · cited by 3
- Projectivization.cardproof · cited by 3
- trdeg_subsingletonproof · cited by 2
- LinearEquiv.mem_dilatransvections_iff_rankproof · cited by 2
- rank_le_one_iffproof · cited by 2
- FreeAlgebra.cardinalMk_eq_liftproof · cited by 2
- SimpleGraph.card_le_chromaticNumber_iff_forall_surjectiveproof · cited by 2
- MvPolynomial.cardinalMk_eq_liftproof · cited by 2