Theorems · Theorem · commutative algebra
CommRingCat.hom_ext_iff
∀ {R S : CommRingCat} {f g : R ⟶ S}, f = g ↔ CommRingCat.Hom.hom f = CommRingCat.Hom.hom g- Defined in
- Mathlib.Algebra.Category.Ring.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- RingHomstatement · cited by 10,189
- CommRingCatstatement and proof · cited by 2,333
- CommRingCat.carrierstatement · cited by 1,096
- CommRingCat.Hom.homstatement and proof · cited by 432
- CommRingCat.hom_extproof · cited by 55
Cited by9
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.stalkToFiberRingHom_germproof · cited by 3
- AlgebraicGeometry.ValuativeCriterion.Existence.of_specializingMapproof · cited by 1
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_inv_hom_applyproof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.stalkSpecializes_stalkMap_applyproof · cited by 0
- AlgebraicGeometry.Scheme.Hom.stalkMap_hom_inv_applyproof · cited by 0
- AlgebraicGeometry.Scheme.Hom.stalkMap_inv_hom_applyproof · cited by 0
- AlgebraicGeometry.tfae_universallyInjectiveproof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_hom_inv_applyproof · cited by 0
- AlgebraicGeometry.Scheme.Hom.stalkSpecializes_stalkMap_applyproof · cited by 0