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Theorems · Theorem · logic and foundations

List.Nodup.length_le_natCard

∀ {α : Type u_1} {l : List α}, l.Nodup → ∀ [Finite α], l.length ≤ Nat.card α
Defined in
Mathlib.SetTheory.Cardinal.NatCard
Cited by
1 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Finite
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

List.Nodup.length_le_enatCard · cited by 1Nodup.length_le_enatCardFintype · cited by 7736FintypeFinite · cited by 3029Finitele_refl · cited by 2061le_reflNat.card · cited by 844Nat.cardle_imp_le_of_le_of_le · cited by 576le_imp_le_of_le_of_leFintype.ofFinite · cited by 255Fintype.ofFiniteFintype.card_eq_nat_card · cited by 31Fintype.card_eq_nat_cardList.Nodup.length_le_card · cited by 3Nodup.length_le_cardNodup.length_le_natCardCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.