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Theorems · Theorem · category theory

CategoryTheory.Limits.HasStrictInitialObjects.out

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} [self : CategoryTheory.Limits.HasStrictInitialObjects C]
  {I A : C} (f : A ⟶ I) (a : CategoryTheory.Limits.IsInitial I), CategoryTheory.IsIso f
Defined in
Mathlib.CategoryTheory.Limits.Shapes.StrictInitial
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Limits.HasStrictInitialObjects
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Around this declaration

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CategoryTheory.Limits.IsInitial.isIso_to · cited by 2IsInitial.isIso_toCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.IsIso · cited by 1156CategoryTheory.IsIsoCategoryTheory.Limits.IsInitial · cited by 158Limits.IsInitialCategoryTheory.Limits.HasStrictInitialObjects · cited by 28Limits.HasStrictInitialOb…HasStrictInitialObjects.outCITED BYCITES

Cites5

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Cited by1

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