Metamath Proof Explorer


Theorem ne0i

Description: If a class has elements, then it is nonempty. (Contributed by NM, 31-Dec-1993)

Ref Expression
Assertion ne0i ⊢ B ∈ A → A ≠ ∅

Proof

Step Hyp Ref Expression
1 n0i ⊢ B ∈ A → ¬ A = ∅
2 1 neqned ⊢ B ∈ A → A ≠ ∅