Metamath Proof Explorer


Theorem prnzg

Description: A pair containing a set is not empty. (Contributed by FL, 19-Sep-2011) (Proof shortened by JJ, 23-Jul-2021)

Ref Expression
Assertion prnzg A V A B

Proof

Step Hyp Ref Expression
1 prid1g A V A A B
2 1 ne0d A V A B