Theorems · Theorem · commutative algebra
IsAdicComplete.subsingleton
∀ {R : Type u_1} [inst : CommRing R] (M : Type u_4) [inst_1 : AddCommGroup M] [inst_2 : Module R M],
IsAdicComplete ⊤ M → Subsingleton M- Defined in
- Mathlib.RingTheory.AdicCompletion.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.topstatement and proof · cited by 9,680
- Idealstatement · cited by 4,748
- IsAdicCompletestatement and proof · cited by 124
- IsHausdorff.subsingletonproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.