Theorems · Theorem · commutative algebra

IsLocalization.ringHom_ext

∀ {R : Type u_1} [inst : CommSemiring R] (M : Submonoid R) {S : Type u_2} [inst_1 : CommSemiring S]
  [inst_2 : Algebra R S] [IsLocalization M S] {P : Type u_4} [inst_4 : Semiring P] ⦃j k : S →+* P⦄,
  j.comp (algebraMap R S) = k.comp (algebraMap R S) → j = k

See note [partially-applied ext lemmas]

Defined in

Mathlib.RingTheory.Localization.Defs

Cited by

32 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringAlgebraIsLocalizationSemiring