Metamath Proof Explorer


Theorem ovsn2

Description: The operation value of a singleton of an ordered triple is the last member. (Contributed by Zhi Wang, 22-Oct-2025)

Ref Expression
Hypothesis ovsn.1
|- C e. _V
Assertion ovsn2
|- ( A { <. A , B , C >. } B ) = C

Proof

Step Hyp Ref Expression
1 ovsn.1
 |-  C e. _V
2 ovsng2
 |-  ( C e. _V -> ( A { <. A , B , C >. } B ) = C )
3 1 2 ax-mp
 |-  ( A { <. A , B , C >. } B ) = C