Theorems · Theorem · category theory

CategoryTheory.Limits.HasZeroObject.zeroIsoInitial_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_3 : CategoryTheory.Limits.HasInitial C],
  CategoryTheory.Limits.HasZeroObject.zeroIsoInitial.inv = 0

Defined in: Mathlib.CategoryTheory.Limits.Shapes.ZeroMorphisms
Cited by: 0 results in Mathlib
Foundations: Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasZeroObject CategoryTheory.Limits.HasZeroMorphisms CategoryTheory.Limits.HasInitial

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Iso.invstatement and proof · cited by 6,514
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
CategoryTheory.Limits.HasInitialstatement and proof · cited by 185
CategoryTheory.Limits.HasZeroObject.zero'statement · cited by 115
CategoryTheory.Limits.initialstatement · cited by 84
CategoryTheory.Limits.HasZeroObject.zeroIsoInitialstatement and proof · cited by 4
CategoryTheory.Limits.initial.hom_extproof · cited by 3

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