Theorems · Theorem · commutative algebra
WittVector.mul_coeff
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] (x y : WittVector p R) (n : ℕ),
(x * y).coeff n = WittVector.peval (WittVector.wittMul p n) ![x.coeff, y.coeff]- Defined in
- Mathlib.RingTheory.WittVector.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- WittVector.mkproof · cited by 22
- WittVector.wittMulstatement and proof · cited by 14
- WittVector.pevalstatement and proof · cited by 12
- WittVector.v2_coeffproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- WittVector.mul_coeff_zeroproof · cited by 2
- WittVector.peval_polyOfInterestproof · cited by 1
- WittVector.init_mulproof · cited by 1
- WittVector.mapFun.mulproof · cited by 0