Theorems · Theorem · category theory

CategoryTheory.Limits.hasCoproducts_shrink

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Limits.HasCoproducts C],
  CategoryTheory.Limits.HasCoproducts C

Defined in: Mathlib.CategoryTheory.Limits.Shapes.Products
Cited by: 4 results in Mathlib
Foundations: Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasCoproducts

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Cites5

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.Limits.HasCoproductsstatement and proof · cited by 119
Equiv.uliftproof · cited by 115
CategoryTheory.Discrete.equivalenceproof · cited by 33
CategoryTheory.Limits.hasColimitsOfShape_of_equivalenceproof · cited by 22

Cited by4

Results whose statement or proof uses this declaration.

AlgebraicTopology.singularChainComplexFunctor_exactAt_of_totallyDisconnectedSpaceproof · cited by 1
CategoryTheory.AB4OfSize_shrinkstatement · cited by 0
AlgebraicTopology.isZero_singularHomologyFunctor_of_totallyDisconnectedSpaceproof · cited by 0
CategoryTheory.Limits.has_smallest_coproducts_of_hasCoproductsproof · cited by 0