| import OAI.Algebra.FormulaHitting.System | |
| import OAI.Algebra.FormulaHitting.FormulaSeries | |
| namespace OAI | |
| namespace NCHitting | |
| theorem Formula.system_output_eq_series {F : Type*} {n : ℕ} | |
| [Field F] [CharZero F] (f : Formula F n) : | |
| f.representation.contract f.representation.fundamentalMatrix = f.series := by | |
| rw [f.system_output, f.series_eq_sum_of_cutoff | |
| (Fintype.card f.representation.State) f.coeff_zero_of_representation_dimension_le] | |
| end NCHitting | |
| end OAI | |