Theorems · Theorem · commutative algebra

FractionalIdeal.divMod_zero_right

∀ {R : Type u_1} [inst : CommRing R] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra R K]
  [inst_3 : IsFractionRing R K] [inst_4 : IsDedekindDomain R] {I J : FractionalIdeal (nonZeroDivisors R) K},
  I.divMod J 0 = 0

Defined in: Mathlib.RingTheory.DedekindDomain.Factorization
Cited by: 0 results in Mathlib
Foundations: Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Field Algebra IsFractionRing IsDedekindDomain

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CommRingstatement and proof · cited by 17,173
Algebrastatement and proof · cited by 11,388
Fieldstatement and proof · cited by 7,404
nonZeroDivisorsstatement and proof · cited by 895
IsFractionRingstatement and proof · cited by 738
IsDedekindDomainstatement and proof · cited by 668
FractionalIdealstatement and proof · cited by 423
FractionalIdeal.divModstatement · cited by 6

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