Mathlib Map

Theorems · Definition · commutative algebra

CommRingCat.flat

CategoryTheory.MorphismProperty CommRingCat

The morphism property of flat ring maps.

Defined in
Mathlib.RingTheory.RingHom.Flat
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
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Around this declaration

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

CommRingCat.flat_ofHom_iff · cited by 1CommRingCat.flat_ofHom_iffCommRingCat.flat_iff · cited by 0CommRingCat.flat_iffCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomCommRingCat · cited by 2333CommRingCatCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…RingHom.Flat · cited by 60RingHom.FlatRingHom.toMorphismProperty · cited by 19RingHom.toMorphismPropertyCommRingCat.flatCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.