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Theorems · Inductive type · category theory

CategoryTheory.Limits.HasFiniteWidePushouts

(C : Type u) → [CategoryTheory.Category.{v, u} C] → Prop

A category HasFiniteWidePushouts if it has all colimits of shape WidePushoutShape J for finite J, i.e. if it has a wide pushout for every finite collection of morphisms with the same domain.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.FiniteLimits
Cited by
3 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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CategoryTheory.Limits.hasFiniteWidePullbacks_opposite_iff · cited by 0Limits.hasFiniteWidePullb…CategoryTheory.Limits.hasFiniteWidePushouts_opposite_iff · cited by 0Limits.hasFiniteWidePusho…CategoryTheory.Limits.HasFiniteWidePushouts.casesOn · cited by 0HasFiniteWidePushouts.cas…CategoryTheory.Limits.HasFiniteWidePushouts.out · cited by 0HasFiniteWidePushouts.outCategoryTheory.Limits.HasFiniteWidePushouts.recOn · cited by 0HasFiniteWidePushouts.rec…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryLimits.HasFiniteWidePushoutsCITED BYCITES

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Cited by5

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