Theorems · Theorem · commutative algebra
FractionalIdeal.canonicalEquiv_flip
∀ {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'] (I : FractionalIdeal S P'),
(FractionalIdeal.canonicalEquiv S P P') ((FractionalIdeal.canonicalEquiv S P' P) I) = I- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- 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
- FractionalIdealstatement and proof · cited by 423
- RingEquiv.symm_apply_applyproof · cited by 30
- FractionalIdeal.canonicalEquivstatement and proof · cited by 19
- FractionalIdeal.canonicalEquiv_symmproof · cited by 2
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