Theorem sspwi

Description: The powerclass preserves inclusion (inference form). (Contributed by BJ, 13-Apr-2024)

	Ref	Expression
Hypothesis	sspwi.1	$$⊢A\subseteq B$$
Assertion	sspwi	$$⊢𝒫A\subseteq 𝒫B$$

Proof

Step	Hyp	Ref	Expression
1		sspwi.1	$$⊢A\subseteq B$$
2		sspw	$$⊢A\subseteq B\to 𝒫A\subseteq 𝒫B$$
3	1 2	ax-mp	$$⊢𝒫A\subseteq 𝒫B$$