OAI/LinearAlgebra/CirculantHadamard/CyclicEvaluationProjection.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Evaluation at a root of smaller order factors through the cyclic quotient.
- theorem
OAI.CirculantHadamard.evaluateAt_cyclicProjectionline 21Source documentation
The actual root evaluation is unchanged after reducing the cyclic index. Both root equations are stated explicitly to match the two evaluation maps.
theorem evaluateAt_cyclicProjection (h : m ∣ n) (x : S) (hm : x ^ m = 1) (hn : x ^ n = 1) (F : Elem R n) : evaluateAt m x hm (cyclicProjection R h F) = evaluateAt n x hn F := by …Mentions: OAI.CirculantHadamard.cyclicProjection