Theorems · Theorem · category theory
CategoryTheory.Functor.initial_of_natIso
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F F' : CategoryTheory.Functor C D} [F.Initial] (i : F ≅ F'), F'.Initial- Defined in
- Mathlib.CategoryTheory.Limits.Final
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Functor.Initialstatement and proof · cited by 84
- CategoryTheory.CostructuredArrow.mapNatIsoproof · cited by 16
- CategoryTheory.isConnected_of_equivalentproof · cited by 11
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.initial_natIso_iffproof · cited by 2
- CategoryTheory.TwoSquare.GuitartExact.of_vCompproof · cited by 2
- CategoryTheory.Functor.initial_comp_equivalenceproof · cited by 1
- CategoryTheory.Comma.final_fst_of_isConnected_structuredArrowproof · cited by 0
- CategoryTheory.Comma.final_snd_of_isFiltered_structuredArrowproof · cited by 0
- SimplexCategory.Truncated.initial_inclproof · cited by 0