Theorem ovsng2

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

	Ref	Expression
Assertion	ovsng2	|- ( C e. V -> ( A { <. A , B , C >. } B ) = C )

Proof

Step	Hyp	Ref	Expression
1		df-ot	|- <. A , B , C >. = <. <. A , B >. , C >.
2	1	sneqi	|- { <. A , B , C >. } = { <. <. A , B >. , C >. }
3	2	oveqi	|- ( A { <. A , B , C >. } B ) = ( A { <. <. A , B >. , C >. } B )
4		ovsng	|- ( C e. V -> ( A { <. <. A , B >. , C >. } B ) = C )
5	3 4	eqtrid	|- ( C e. V -> ( A { <. A , B , C >. } B ) = C )