Theorems · Definition · commutative algebra
Hausdorffification.of
{R : Type u_1} →
[inst : CommRing R] →
(I : Ideal R) → (M : Type u_4) → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → M →ₗ[R] Hausdorffification I MThe canonical linear map to the Hausdorffification.
- Defined in
- Mathlib.RingTheory.AdicCompletion.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 85 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.
Cites11
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Top.topstatement and proof · cited by 9,680
- Submodulestatement · cited by 7,192
- Idealstatement and proof · cited by 4,748
- iInfstatement and proof · cited by 1,690
- Submodule.mkQproof · cited by 232
- Hausdorffificationstatement · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- 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