Theorems · Theorem · field theory
Polynomial.dickson_one_one_mul
∀ (R : Type u_1) [inst : CommRing R] (m n : ℕ), Polynomial.dickson 1 1 (m * n) = (Polynomial.dickson 1 1 m).comp (Polynomial.dickson 1 1 n)
The (m * n)-th Dickson polynomial of the first kind is the composition of the m-th and
n-th.
- Defined in
- Mathlib.RingTheory.Polynomial.Dickson
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Semiringproof · cited by 13,802
- RingHomproof · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.mapproof · cited by 806
- Int.cast_oneproof · cited by 371
- Nat.cast_mulproof · cited by 309
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.dickson_one_one_comp_commproof · cited by 0