fact: Definition series_ring α {R : ring α} : ring (power_series α) := {| rng_zero := series_0; rng_one := series_1; rng_add := series_add; rng_mul := series_mul; rng_opp := series_opp; rng_eq := eq_series; rng_eq_refl := eq_series_refl; rng_eq_sym := eq_series_sym (r := R); rng_eq_trans := eq_series_trans (r := R); rng_add_comm := series_add_comm R; rng_add_assoc := series_add_assoc R; rng_add_0_l := series_add_0_l R; rng_add_opp_l := series_add_opp_l R; rng_add_compat_l := @series_add_compat_l α R; rng_mul_comm := series_mul_comm R; rng_mul_assoc := series_mul_assoc R; rng_mul_1_l := series_mul_1_l R; rng_mul_compat_l := @series_mul_compat_l α R; rng_mul_add_distr_l := series_mul_add_distr_l R |}.
imports: Utf8 QArith NPeano Misc NbarM Field2 Fsummation