Theorem funopfv

Description: The second element in an ordered pair member of a function is the function's value. (Contributed by NM, 19-Jul-1996)

	Ref	Expression
Assertion	funopfv	$$⊢\mathrm{Fun}F\to \left(⟨A,B⟩\in F\to F\left(A\right)=B\right)$$

Proof

Step	Hyp	Ref	Expression
1		df-br	$$⊢AFB\leftrightarrow ⟨A,B⟩\in F$$
2		funbrfv	$$⊢\mathrm{Fun}F\to \left(AFB\to F\left(A\right)=B\right)$$
3	1 2	biimtrrid	$$⊢\mathrm{Fun}F\to \left(⟨A,B⟩\in F\to F\left(A\right)=B\right)$$