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Theorems · Theorem · combinatorics

Finset.image_val

∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] (f : α → β) (s : Finset α),
  (Finset.image f s).val = (Multiset.map f s.val).dedup
Defined in
Mathlib.Data.Finset.Image
Cited by
5 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Finset.attach_image_val · cited by 6Finset.attach_image_valMultiset.map_add_left_Icc · cited by 1Multiset.map_add_left_IccMultiset.map_add_left_Ico · cited by 1Multiset.map_add_left_IcoMultiset.map_add_left_Ioc · cited by 1Multiset.map_add_left_IocMultiset.map_add_left_Ioo · cited by 1Multiset.map_add_left_IooFinset · cited by 13712FinsetMultiset · cited by 2627MultisetFinset.image · cited by 910Finset.imageMultiset.map · cited by 876Multiset.mapFinset.val · cited by 438Finset.valMultiset.dedup · cited by 59Multiset.dedupFinset.image_valCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.