Theorems · Theorem · commutative algebra

IsLocalization.lift_eq

∀ {R : Type u_1} [inst : CommSemiring R] {M : Submonoid R} {S : Type u_2} [inst_1 : CommSemiring S]
  [inst_2 : Algebra R S] {P : Type u_3} [inst_3 : CommSemiring P] [inst_4 : IsLocalization M S] {g : R →+* P}
  (hg : ∀ (y : ↥M), IsUnit (g ↑y)) (x : R), (IsLocalization.lift hg) ((algebraMap R S) x) = g x

Defined in

Mathlib.RingTheory.Localization.Defs

Cited by

14 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringAlgebraCommSemiringIsLocalization