Theorems · Theorem · logic and foundations
List.Nodup.length_le_enatCard
∀ {α : Type u_1} {l : List α}, l.Nodup → ↑l.length ≤ ENat.card α- Defined in
- Mathlib.SetTheory.Cardinal.NatCard
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement and proof · cited by 4,985
- Finiteproof · cited by 3,029
- le_reflproof · cited by 2,061
- Nat.cardproof · cited by 844
- le_imp_le_of_le_of_leproof · cited by 576
- le_topproof · cited by 411
- Infiniteproof · cited by 352
- ENat.cardstatement and proof · cited by 89
- Nat.mono_castproof · cited by 76
- finite_or_infiniteproof · cited by 50
- ENat.card_eq_coe_natCardproof · cited by 12
- ENat.card_eq_top_of_infiniteproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.IsAcyclic.of_card_le_twoproof · cited by 1