Theorems · Theorem · commutative algebra
WittVector.ghostComponent_apply
∀ {p : ℕ} {R : Type u_1} [inst : CommRing R] [inst_1 : Fact (Nat.Prime p)] (n : ℕ) (x : WittVector p R),
(WittVector.ghostComponent n) x = (MvPolynomial.aeval x.coeff) (wittPolynomial p ℤ n)- Defined in
- Mathlib.RingTheory.WittVector.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- Factstatement and proof · cited by 2,726
- MvPolynomialstatement · cited by 2,140
- Nat.Primestatement and proof · cited by 2,059
- MvPolynomial.aevalstatement · cited by 298
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement · cited by 138
- wittPolynomialstatement · cited by 54
Cited by2
Results whose statement or proof uses this declaration.
- WittVector.pow_dvd_ghostComponent_of_dvd_coeffproof · cited by 1
- WittVector.ghostComponent_zero_verschiebungFunproof · cited by 1