Theorems · Theorem · commutative algebra
FractionalIdeal.canonicalEquiv_symm
∀ {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'], (FractionalIdeal.canonicalEquiv S P P').symm = FractionalIdeal.canonicalEquiv S P' P- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Submonoidstatement and proof · cited by 3,086
- RingEquivstatement and proof · cited by 1,147
- IsLocalizationstatement and proof · cited by 636
- AlgEquiv.symmproof · cited by 615
- RingEquiv.symmstatement and proof · cited by 567
- FractionalIdealstatement and proof · cited by 423
- AlgEquiv.toAlgHomproof · cited by 273
- RingEquiv.toEquivproof · cited by 101
Cited by2
Results whose statement or proof uses this declaration.
- FractionalIdeal.canonicalEquiv_selfproof · cited by 4
- FractionalIdeal.canonicalEquiv_flipproof · cited by 0