Theorems · Theorem · category theory
CategoryTheory.SubmonoidFunctor.ext
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {M : CategoryTheory.Functor C MonCat}
{x y : CategoryTheory.SubmonoidFunctor M}, x.obj = y.obj → x = y- Cited by
- 4 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Submonoidstatement and proof · cited by 3,086
- Submonoid.comapproof · cited by 179
- MonCatstatement and proof · cited by 127
- MonCat.carrierstatement and proof · cited by 107
- MonCat.Hom.homproof · cited by 38
- CategoryTheory.SubmonoidFunctorstatement and proof · cited by 29
- CategoryTheory.SubmonoidFunctor.objstatement and proof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.SubmonoidFunctor.ext_iffproof · cited by 0
- CategoryTheory.SubmonoidFunctor.image_comap_ιproof · cited by 0
- CategoryTheory.SubmonoidFunctor.image_compproof · cited by 0
- CategoryTheory.SubmonoidFunctor.image_idproof · cited by 0