Theorems · Theorem · category theory
CategoryTheory.Mon.forgetMapConeLimitConeIso_inv_hom
∀ {J : Type w} [inst : CategoryTheory.Category.{v_1, w} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
[inst_2 : CategoryTheory.MonoidalCategory C] (F : CategoryTheory.Functor J (CategoryTheory.Mon C))
(c : CategoryTheory.Limits.Cone (F.comp (CategoryTheory.Mon.forget C))) (hc : CategoryTheory.Limits.IsLimit c),
(CategoryTheory.Mon.forgetMapConeLimitConeIso F c hc).inv.hom = CategoryTheory.CategoryStruct.id c.pt- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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.Homstatement · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
- CategoryTheory.Limits.Conestatement and proof · cited by 710
- CategoryTheory.Limits.IsLimitstatement and proof · cited by 664
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Limits.ConeMorphism.homstatement and proof · cited by 164
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