Theorems · Theorem · category theory
CategoryTheory.Limits.FormalCoproduct.mapPower_id
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (U : CategoryTheory.Limits.FormalCoproduct C) (α : Type t)
[inst_1 : CategoryTheory.Limits.HasProductsOfShape α C], U.mapPower id = CategoryTheory.CategoryStruct.id (U.power α)- Cited by
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- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Limits.limit.lift_πproof · cited by 266
- CategoryTheory.Limits.piObjproof · cited by 237
- CategoryTheory.Limits.Pi.πproof · cited by 184
- CategoryTheory.Limits.FormalCoproductstatement and proof · cited by 122
- CategoryTheory.Limits.FormalCoproduct.Iproof · cited by 87
- CategoryTheory.Limits.FormalCoproduct.objproof · cited by 72
- CategoryTheory.Limits.HasProductsOfShapestatement and proof · cited by 63
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