Theorem fconst6

Description: A constant function as a mapping. (Contributed by Jeff Madsen, 30-Nov-2009) (Revised by Mario Carneiro, 22-Apr-2015)

	Ref	Expression
Hypothesis	fconst6.1	$$⊢B\in C$$
Assertion	fconst6	$$⊢\left(A\times \left\{B\right\}\right):A⟶C$$

Proof

Step	Hyp	Ref	Expression
1		fconst6.1	$$⊢B\in C$$
2		fconst6g	$$⊢B\in C\to \left(A\times \left\{B\right\}\right):A⟶C$$
3	1 2	ax-mp	$$⊢\left(A\times \left\{B\right\}\right):A⟶C$$