File size: 477 Bytes
ae00908 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | 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
|