Theorems · Theorem · commutative algebra
RingTheory.Sequence.IsRegular.nil
∀ (R : Type u_1) (M : Type u_3) [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [Nontrivial M], RingTheory.Sequence.IsRegular M []
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Top.topproof · cited by 9,680
- Submoduleproof · cited by 7,192
- Idealproof · cited by 4,748
- Nontrivialstatement and proof · cited by 2,416
- RingTheory.Sequence.IsWeaklyRegularproof · cited by 40
- Ideal.ofListproof · cited by 33
- RingTheory.Sequence.IsRegularstatement · cited by 29
- not_subsingletonproof · cited by 24
- subsingleton_iff_bot_eq_topproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- RingTheory.Sequence.IsRegular.recIterModByRegularstatement and proof · cited by 0
- RingTheory.Sequence.IsRegular.recIterModByRegularWithRingstatement and proof · cited by 0