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Image_of_Singleton_under_Relation

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

proofwikirelation-theorysingletons

The image of a singleton {s} under a function f equals the singleton {f(s)}: f '' {s} = {f s}

Preamble
import Mathlib.Data.Set.Basic
import Mathlib.Data.Set.Function
Formal statement
theorem Image_of_Singleton_under_Relation {α : Type _} {β : Type _} (f : α → β) (s : α) : f '' {s} = {f s} := by sorry
Source
https://proofwiki.org/wiki/Image_of_Singleton_under_Relation

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