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Equality_of_Mappings

Proved

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

mapping-theoryproofwiki

Two mappings f, g : S → T are equal iff for all x in S, f(x) = g(x).

Preamble
import Mathlib.Logic.Function.Basic
Formal statement
theorem Equality_of_Mappings {α β : Type _} (f g : α → β) : f = g ↔ ∀ x, f x = g x := by sorry
Source
https://proofwiki.org/wiki/Equality_of_Mappings

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