Metamath Proof Explorer


Theorem ssct

Description: Any subset of a countable set is countable. (Contributed by Thierry Arnoux, 31-Jan-2017) Avoid ax-pow , ax-un . (Revised by BTernaryTau, 7-Dec-2024)

Ref Expression
Assertion ssct ( ( 𝐴𝐵𝐵 ≼ ω ) → 𝐴 ≼ ω )

Proof

Step Hyp Ref Expression
1 domssl ( ( 𝐴𝐵𝐵 ≼ ω ) → 𝐴 ≼ ω )