This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem rlmfn

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

Ref Expression
Assertion rlmfn ⊢ ringLMod Fn V

Proof

Step Hyp Ref Expression
1 fvex ⊢ subringAlg ⁡ a ⁡ Base a ∈ V
2 df-rgmod ⊢ ringLMod = a ∈ V ⟼ subringAlg ⁡ a ⁡ Base a
3 1 2 fnmpti ⊢ ringLMod Fn V