Theorems · Theorem · category theory
CategoryTheory.SubmonoidFunctor.sup_obj
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {M : CategoryTheory.Functor C MonCat}
(F G : CategoryTheory.SubmonoidFunctor M) (x : C), (SemilatticeSup.sup F G).obj x = F.obj x ⊔ G.obj x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Submonoidstatement · cited by 3,086
- MonCatstatement and proof · cited by 127
- MonCat.carrierstatement · cited by 107
- CategoryTheory.SubmonoidFunctorstatement and proof · cited by 29
- CategoryTheory.SubmonoidFunctor.objstatement and proof · cited by 19
- SemilatticeSup.supstatement and proof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.