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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 →+* R

Evaluates 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
Assumes
CommRingFact

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WittVector.frobenius_verschiebung · cited by 7WittVector.frobenius_vers…WittVector.ghostComponentModPPow · cited by 6WittVector.ghostComponent…WittVector.ghostComponent_verschiebung · cited by 3WittVector.ghostComponent…WittVector.ghostComponent_frobenius · cited by 2WittVector.ghostComponent…WittVector.IsPoly.ext · cited by 2IsPoly.extWittVector.ghostComponentModPPow_map_mk · cited by 2WittVector.ghostComponent…WittVector.ghostComponentModPPow_teichmuller_coeff · cited by 2WittVector.ghostComponent…WittVector.ghostComponent_apply · cited by 2WittVector.ghostComponent…WittVector.select_add_select_not · cited by 2WittVector.select_add_sel…WittVector.ker_map_le_ker_mk_comp_ghostComponent · cited by 1WittVector.ker_map_le_ker…WittVector.ghostComponent_frobeniusFun · cited by 1WittVector.ghostComponent…WittVector.ghostComponent_teichmuller · cited by 1WittVector.ghostComponent…WittVector.ghostComponent_verschiebungFun · cited by 1WittVector.ghostComponent…WittVector.ghostComponent_zero_verschiebung · cited by 1WittVector.ghostComponent…WittVector.ghostComponent_zero_verschiebungFun · cited by 1WittVector.ghostComponent…CommRing · cited by 17173CommRingRingHom · cited by 10189RingHomFact · cited by 2726FactNat.Prime · cited by 2059Nat.PrimeRingHom.comp · cited by 899RingHom.compWittVector · cited by 227WittVectorPi.evalRingHom · cited by 44Pi.evalRingHomWittVector.ghostMap · cited by 4WittVector.ghostMapWittVector.ghostComponentCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by21

Results whose statement or proof uses this declaration.