Metamath Proof Explorer


Theorem difssd

Description: A difference of two classes is contained in the minuend. Deduction form of difss . (Contributed by David Moews, 1-May-2017)

Ref Expression
Assertion difssd ⊢ φ → A ∖ B ⊆ A

Proof

Step Hyp Ref Expression
1 difss ⊢ A ∖ B ⊆ A
2 1 a1i ⊢ φ → A ∖ B ⊆ A