Theorem difss2d

Description: If a class is contained in a difference, it is contained in the minuend. Deduction form of difss2 . (Contributed by David Moews, 1-May-2017)

	Ref	Expression
Hypothesis	difss2d.1	$$⊢\phi \to A\subseteq B\setminus C$$
Assertion	difss2d	$$⊢\phi \to A\subseteq B$$

Proof

Step	Hyp	Ref	Expression
1		difss2d.1	$$⊢\phi \to A\subseteq B\setminus C$$
2		difss2	$$⊢A\subseteq B\setminus C\to A\subseteq B$$
3	1 2	syl	$$⊢\phi \to A\subseteq B$$