Theorems · Definition · commutative algebra
Hausdorffification
{R : Type u_1} → [inst : CommRing R] → Ideal R → (M : Type u_4) → [inst_1 : AddCommGroup M] → [Module R M] → Type u_4The Hausdorffification of a module with respect to an ideal.
- Defined in
- Mathlib.RingTheory.AdicCompletion.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 71 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.topproof · cited by 9,680
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientproof · cited by 2,301
- iInfproof · cited by 1,690
Cited by6
Results whose statement or proof uses this declaration.
- Hausdorffification.ofstatement · cited by 4
- Hausdorffification.liftstatement · cited by 3
- Hausdorffification.induction_onstatement and proof · cited by 1
- Hausdorffification.lift_ofstatement · cited by 1
- Hausdorffification.lift_comp_ofstatement · cited by 0
- Hausdorffification.lift_eqstatement and proof · cited by 0