Theorem ovsn

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

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

Proof

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