Theorems · Theorem · category theory
CategoryTheory.Limits.colimitHomIsoLimitYoneda.congr_simp
∀ {C : Type u₁} [inst : CategoryTheory.Category.{u₂, u₁} C] {I : Type v₁} [inst_1 : CategoryTheory.Category.{v₂, v₁} I]
(F : CategoryTheory.Functor I C) [inst_2 : CategoryTheory.Limits.HasColimit F]
[inst_3 : CategoryTheory.Limits.HasLimitsOfShape Iᵒᵖ (Type u₂)] (A : C),
CategoryTheory.Limits.colimitHomIsoLimitYoneda F A = CategoryTheory.Limits.colimitHomIsoLimitYoneda F A- Defined in
- Mathlib.CategoryTheory.Limits.IndYoneda
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.opstatement · cited by 997
- CategoryTheory.Limits.colimitstatement · cited by 453
- CategoryTheory.yonedastatement · cited by 351
- CategoryTheory.Limits.limitstatement · cited by 346
- CategoryTheory.Limits.HasColimitstatement and proof · cited by 307
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