Theorems · Theorem · category theory
CoalgCat.hom_ext
∀ {R : Type u} [inst : CommRing R] {M N : CoalgCat R} (f g : M ⟶ N),
CoalgCat.Hom.toCoalgHom f = CoalgCat.Hom.toCoalgHom g → f = g- Defined in
- Mathlib.Algebra.Category.CoalgCat.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CommRingstatement and proof · cited by 17,173
- ModuleCat.carrierstatement · cited by 997
- CoalgHomstatement · cited by 105
- CoalgCatstatement and proof · cited by 63
- CoalgCat.toModuleCatstatement · cited by 51
- CoalgCat.Hom.toCoalgHomstatement and proof · cited by 6
- CoalgCat.Hom.extproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CoalgCat.hom_ext_iffproof · cited by 0