Metamath Proof Explorer

Theorem 0elpr01

Description: 0 is an element of { 0 , 1 } . (Contributed by Umit Teoman Dogan, 10-Jun-2026)

Ref Expression
Assertion 0elpr01 
|- 0 e. { 0 , 1 }

Proof

Step Hyp Ref Expression
1 c0ex 
 |-  0 e. _V
2 1 prid1 
 |-  0 e. { 0 , 1 }