Theorems · Definition · commutative algebra
WittVector.ghostComponent
{p : ℕ} → {R : Type u_1} → [inst : CommRing R] → [inst_1 : Fact (Nat.Prime p)] → ℕ → WittVector p R →+* REvaluates the nth Witt polynomial on the first n coefficients of x,
producing a value in R.
- Defined in
- Mathlib.RingTheory.WittVector.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- RingHomstatement · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- RingHom.compproof · cited by 899
- WittVectorstatement · cited by 227
- Pi.evalRingHomproof · cited by 44
- WittVector.ghostMapproof · cited by 4
Cited by21
Results whose statement or proof uses this declaration.
- WittVector.frobenius_verschiebungproof · cited by 7
- WittVector.ghostComponentModPPowproof · cited by 6
- WittVector.ghostComponent_verschiebungstatement · cited by 3
- WittVector.ghostComponent_frobeniusstatement · cited by 2
- WittVector.IsPoly.extstatement and proof · cited by 2
- WittVector.ghostComponentModPPow_map_mkstatement and proof · cited by 2
- WittVector.ghostComponentModPPow_teichmuller_coeffproof · cited by 2
- WittVector.ghostComponent_applystatement · cited by 2
- WittVector.select_add_select_notproof · cited by 2
- WittVector.ker_map_le_ker_mk_comp_ghostComponentstatement and proof · cited by 1
- WittVector.ghostComponent_frobeniusFunstatement · cited by 1
- WittVector.ghostComponent_teichmullerstatement · cited by 1