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Subset_of_Countably_Infinite_Set_is_Countable

Proved

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

countable-setsproofwikisubsets

Every subset of a countably infinite set is countable.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem Subset_of_Countably_Infinite_Set_is_Countable (S : Set ℕ) : Set.Countable S := by sorry
Source
https://proofwiki.org/wiki/Subset_of_Countably_Infinite_Set_is_Countable

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