Theorems · Theorem · commutative algebra
WittVector.ghostComponent_teichmuller
∀ (p : ℕ) {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] (r : R) (n : ℕ),
(WittVector.ghostComponent n) ((WittVector.teichmuller p) r) = r ^ p ^ nThe n-th ghost component of teichmuller p r is r ^ p ^ n.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MonoidHomstatement · cited by 3,629
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- WittVectorstatement · cited by 227
- WittVector.ghostComponentstatement · cited by 20
- WittVector.teichmullerstatement · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.ghostComponentModPPow_teichmuller_coeffproof · cited by 2