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Theorems · Theorem · combinatorics

Function.Injective.mem_finset_image

∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] {f : α → β} {s : Finset α} {a : α},
  Function.Injective f → (f a ∈ Finset.image f s ↔ a ∈ s)
Defined in
Mathlib.Data.Finset.Image
Cited by
3 results in Mathlib
Foundations
Depth 76 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.smul_mem_smul_finset_iff · cited by 4Finset.smul_mem_smul_fins…Finset.vadd_mem_vadd_finset_iff · cited by 3Finset.vadd_mem_vadd_fins…MeasureTheory.lmarginal_image · cited by 0MeasureTheory.lmarginal_i…Finset · cited by 13712FinsetFinset.image · cited by 910Finset.imageInjective.mem_finset_imageCITED BYCITES

Cites2

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

Cited by3

Results whose statement or proof uses this declaration.