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Theorems · Theorem · category theory

CategoryTheory.Limits.IsInitial.isIso_to

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Limits.HasStrictInitialObjects C] {I : C}
  (hI : CategoryTheory.Limits.IsInitial I) {A : C} (f : A ⟶ I), CategoryTheory.IsIso f
Defined in
Mathlib.CategoryTheory.Limits.Shapes.StrictInitial
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasStrictInitialObjects
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.IsInitial.strict_hom_ext · cited by 2IsInitial.strict_hom_extCategoryTheory.IsInitial.isVanKampenColimit · cited by 1IsInitial.isVanKampenColi…CategoryTheory.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…CategoryTheory.Limits.HasStrictInitialObjects.out · cited by 1HasStrictInitialObjects.o…IsInitial.isIso_toCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.