Theorem rlmfn

Description: ringLMod is a function. (Contributed by Stefan O'Rear, 6-Dec-2014)

	Ref	Expression
Assertion	rlmfn	$$⊢\mathrm{ringLMod}Fn\mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		fvex	$$⊢\mathrm{subringAlg}\left(a\right)\left({\mathrm{Base}}_a\right)\in \mathrm{V}$$
2		df-rgmod	$$⊢\mathrm{ringLMod}=\left(a\in \mathrm{V}⟼\mathrm{subringAlg}\left(a\right)\left({\mathrm{Base}}_a\right)\right)$$
3	1 2	fnmpti	$$⊢\mathrm{ringLMod}Fn\mathrm{V}$$