Theorems · Theorem · commutative algebra

Hausdorffification.lift_of

∀ {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) (x : M),
  (Hausdorffification.lift I f) ((Hausdorffification.of I M) x) = f x

Defined in

Mathlib.RingTheory.AdicCompletion.Basic

Cited by

1 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleIsHausdorff