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Theorems · Theorem · commutative algebra

RingTheory.Sequence.isWeaklyRegular_singleton_iff

∀ {R : Type u_1} (M : Type u_3) [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (r : R),
  RingTheory.Sequence.IsWeaklyRegular M [r] ↔ IsSMulRegular M r
Defined in
Mathlib.RingTheory.Regular.RegularSequence
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Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingAddCommGroupModule
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Module · cited by 20661ModuleCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupIsSMulRegular · cited by 128IsSMulRegularQuotSMulTop · cited by 46QuotSMulTopRingTheory.Sequence.IsWeaklyRegular · cited by 40Sequence.IsWeaklyRegularRingTheory.Sequence.IsWeaklyRegular.nil · cited by 6IsWeaklyRegular.nilRingTheory.Sequence.isWeaklyRegular_cons_iff · cited by 6Sequence.isWeaklyRegular_…Sequence.isWeaklyRegular_sing…CITED BYCITES

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