Metamath Proof Explorer


Theorem prnz

Description: A pair containing a set is not empty. (Contributed by NM, 9-Apr-1994)

Ref Expression
Hypothesis prnz.1 A V
Assertion prnz A B

Proof

Step Hyp Ref Expression
1 prnz.1 A V
2 1 prid1 A A B
3 2 ne0ii A B