Theorems · Definition · commutative algebra
RingHom.toMorphismProperty
({R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop) →
CategoryTheory.MorphismProperty CommRingCatThe categorical MorphismProperty associated to a property of ring homs expressed
non-categorical terms.
- Defined in
- Mathlib.RingTheory.RingHomProperties
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- CommRingCatstatement and proof · cited by 2,333
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CommRingCat.carrierproof · cited by 1,096
- CommRingCat.Hom.homproof · cited by 432
Cited by24
Results whose statement or proof uses this declaration.
- RingHom.toMorphismProperty_respectsIso_iffstatement and proof · cited by 11
- RingHom.RespectsIso.arrow_mk_iso_iffproof · cited by 6
- AlgebraicGeometry.HasRingHomProperty.iff_exists_appLE_locallyproof · cited by 3
- AlgebraicGeometry.IsIntegralHom.SpecMap_iffproof · cited by 2
- RingHom.HasEqualizers.createsLimitsWalkingParallelPairstatement and proof · cited by 2
- CommRingCat.flatproof · cited by 2
- RingHom.HasFiniteProducts.createsFiniteProductsForgetstatement and proof · cited by 2
- AlgebraicGeometry.stalkwise_SpecMap_iffproof · cited by 2
- CommRingCat.Under.hasFiniteLimitsstatement and proof · cited by 1
- FGAlgCat.equivUnderstatement and proof · cited by 1
- RingHom.HasEqualizers.hasEqualizersstatement and proof · cited by 1
- RingHom.HasFiniteProducts.hasFiniteProductsstatement and proof · cited by 1