Theorems · Theorem · commutative algebra

WittVector.ker_map_le_ker_mk_comp_ghostComponent

∀ {R : Type u} [inst : CommRing R] {p : ℕ} [inst_1 : Fact (Nat.Prime p)] (n : ℕ),
  RingHom.ker (WittVector.map (Ideal.Quotient.mk (Ideal.span {↑p}))) ≤
    RingHom.ker ((Ideal.Quotient.mk (Ideal.span {↑p} ^ (n + 1))).comp (WittVector.ghostComponent n))

Defined in

Mathlib.RingTheory.Perfectoid.FontaineTheta

Cited by

1 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingFact