Theorems · Theorem · commutative algebra

PerfectionMap.hom_ext

∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {R : Type u₁} [inst_1 : CommSemiring R] [CharP R p] [PerfectRing R p]
  {S : Type u₂} [inst_4 : CommSemiring S] [inst_5 : CharP S p] {P : Type u₃} [inst_6 : CommSemiring P]
  [inst_7 : CharP P p] [inst_8 : PerfectRing P p] (π : P →+* S),
  PerfectionMap p π → ∀ {f g : R →+* P}, (∀ (x : R), π (f x) = π (g x)) → f = g

Defined in

Mathlib.RingTheory.Perfection

Cited by

1 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FactCommSemiringCharPPerfectRingCommSemiringCharPCommSemiringCharPPerfectRing