Mathlib Map

Theorems · Definition

Set.image

{α : Type u} → {β : Type v} → (α → β) → Set α → Set β

The image of s : Set α by f : α → β, written f '' s, is the set of b : β such that f a = b for some a ∈ s.

Defined in
Mathlib.Data.Set.Defs
Cited by
5,609 results in Mathlib
Foundations
Depth 4 from the axioms, rests on 11 definitions · uses no axioms

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Cites2

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

  • Setstatement and proof · cited by 53,352
  • Set.ofPredproof · cited by 6,101

Cited by5,892

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 5,892.