Theorems · Theorem · commutative algebra

FractionalIdeal.canonicalEquiv_canonicalEquiv

∀ {R : Type u_1} [inst : CommRing R] (S : Submonoid R) (P : Type u_2) [inst_1 : CommRing P] [inst_2 : Algebra R P]
  (P' : Type u_3) [inst_3 : CommRing P'] [inst_4 : Algebra R P'] [inst_5 : IsLocalization S P]
  [inst_6 : IsLocalization S P'] (P'' : Type u_5) [inst_7 : CommRing P''] [inst_8 : Algebra R P'']
  [inst_9 : IsLocalization S P''] (I : FractionalIdeal S P),
  (FractionalIdeal.canonicalEquiv S P' P'') ((FractionalIdeal.canonicalEquiv S P P') I) =
    (FractionalIdeal.canonicalEquiv S P P'') I

Defined in

Mathlib.RingTheory.FractionalIdeal.Operations

Cited by

3 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebraIsLocalizationIsLocalizationCommRingAlgebraIsLocalization