Theorem difss2

Description: If a class is contained in a difference, it is contained in the minuend. (Contributed by David Moews, 1-May-2017)

	Ref	Expression
Assertion	difss2	$$⊢A\subseteq B\setminus C\to A\subseteq B$$

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢A\subseteq B\setminus C\to A\subseteq B\setminus C$$
2		difss	$$⊢B\setminus C\subseteq B$$
3	1 2	sstrdi	$$⊢A\subseteq B\setminus C\to A\subseteq B$$