Mathlib Map

Theorems · Definition · commutative algebra

PreTilt.coeff

{O : Type u₂} →
  [inst : CommRing O] →
    {p : ℕ} → [inst_1 : Fact (Nat.Prime p)] → [inst_2 : Fact ¬IsUnit ↑p] → ℕ → PreTilt O p →+* ModP O p

The n-th coefficient of an element of the perfection of O/(p).

Defined in
Mathlib.RingTheory.Perfection
Cited by
21 results in Mathlib
Foundations
Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingFactFact

Around this declaration

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

Cites10

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

  • Setstatement · cited by 53,352
  • 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
  • IsUnitstatement and proof · cited by 1,602
  • Ideal.spanstatement · cited by 948
  • Perfection.coeffproof · cited by 51
  • PreTiltstatement · cited by 30
  • ModPstatement and proof · cited by 23

Cited by23

Results whose statement or proof uses this declaration.