Theorems · Theorem · commutative algebra
Hausdorffification.lift_eq
∀ {R : Type u_1} [inst : CommRing R] (I : Ideal R) {M : Type u_4} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
{N : Type u_5} [inst_3 : AddCommGroup N] [inst_4 : Module R N] [h : IsHausdorff I N] (f : M →ₗ[R] N)
(g : Hausdorffification I M →ₗ[R] N), g ∘ₗ Hausdorffification.of I M = f → g = Hausdorffification.lift I fUniqueness of lift.
- Defined in
- Mathlib.RingTheory.AdicCompletion.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Top.topstatement · cited by 9,680
- Submodulestatement · cited by 7,192
- Idealstatement and proof · cited by 4,748
- iInfstatement · cited by 1,690
- LinearMap.compstatement and proof · cited by 1,642
- LinearMap.extproof · cited by 844
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.