Theorems · Theorem · combinatorics
List.Nodup.length_le_card
∀ {α : Type u_4} [inst : Fintype α] {l : List α}, l.Nodup → l.length ≤ Fintype.card α- Defined in
- Mathlib.Data.Fintype.Card
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
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
- List.toFinsetproof · cited by 108
- Finset.card_le_univproof · cited by 32
- List.toFinset_card_of_nodupproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- SimpleGraph.Walk.IsPath.length_ltproof · cited by 1
- Function.minimalPeriod_le_cardproof · cited by 1
- List.Nodup.length_le_natCardproof · cited by 1