Theorems · Theorem · commutative algebra
FractionalIdeal.mk0.congr_simp
∀ {R : Type u_1} (K : Type u_2) [inst : CommRing R] [inst_1 : Field K] [inst_2 : Algebra R K]
[inst_3 : IsFractionRing R K] [inst_4 : IsDomain R] [inst_5 : IsDedekindDomain R],
FractionalIdeal.mk0 K = FractionalIdeal.mk0 K- Defined in
- Mathlib.RingTheory.ClassGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Idealstatement · cited by 4,748
- MonoidHomstatement · cited by 3,629
- Submonoidstatement · cited by 3,086
- Unitsstatement · cited by 2,804
- IsDomainstatement and proof · cited by 2,196
- nonZeroDivisorsstatement · cited by 895
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
- FractionalIdealstatement · cited by 423
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