Mathlib Map

Theorems · Definition · commutative algebra

CommRingCat.regularMonoOfFaithfullyFlat

{R S : CommRingCat} → (f : R ⟶ S) → (CommRingCat.Hom.hom f).FaithfullyFlat → CategoryTheory.RegularMono f

A regular monomorphism structure on a map f : R ⟶ S in CommRingCat with faithfully flat f.hom : R ⟶ S.

Defined in
Mathlib.Algebra.Category.Ring.EqualizerPushout
Cited by
1 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.