Theorems · Theorem · category theory
MonCat.FilteredColimits.cocone_naturality
∀ {J : Type v} [inst : CategoryTheory.SmallCategory J] (F : CategoryTheory.Functor J MonCat)
[inst_1 : CategoryTheory.IsFiltered J] {j j' : J} (f : j ⟶ j'),
CategoryTheory.CategoryStruct.comp (F.map f) (MonCat.FilteredColimits.coconeMorphism F j') =
MonCat.FilteredColimits.coconeMorphism F j- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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- CategoryTheory.SmallCategorystatement and proof · cited by 480
- CategoryTheory.forgetproof · cited by 418
- CategoryTheory.NatTrans.naturalityproof · cited by 318
- CategoryTheory.IsFilteredstatement and proof · cited by 210
- CategoryTheory.ConcreteCategory.congr_homproof · cited by 138
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