Section FalgLfun.
Variable (R : comRingType) (aT : FalgType R).
Implicit Types f g : 'End(aT).
Canonical Falg_fun_ringType := lfun_ringType (FalgType_proper aT).
Canonical Falg_fun_lalgType := lfun_lalgType (FalgType_proper aT).
Canonical Falg_fun_algType := lfun_algType (FalgType_proper aT).

Lemma lfun_mulE f g u : (f * g) u = g (f u). Proof. exact: lfunE. Qed.
Lemma lfun_compE f g : (g \o f)%VF = f * g. Proof. by []. Qed.