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Theorems · Theorem · combinatorics

Fintype.nodup_map_univ_iff_injective

∀ {α : Type u_1} {β : Type u_2} [inst : Fintype α] {f : α → β},
  (Multiset.map f Finset.univ.val).Nodup ↔ Function.Injective f
Defined in
Mathlib.Data.Fintype.Defs
Cited by
0 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fintype
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Set · cited by 53352SetFintype · cited by 7736FintypeFinset.univ · cited by 3473Finset.univMultiset.map · cited by 876Multiset.mapSet.InjOn · cited by 543Set.InjOnFinset.val · cited by 438Finset.valMultiset.Nodup · cited by 148Multiset.NodupFinset.coe_univ · cited by 101Finset.coe_univFinset.nodup_map_iff_injOn · cited by 5Finset.nodup_map_iff_injOnSet.injOn_univ · cited by 4Set.injOn_univFintype.nodup_map_univ_iff_in…CITED BYCITES

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