Theorems · Theorem · category theory
CategoryTheory.Limits.KernelFork.app_one
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C}
{f : X ⟶ Y} (s : CategoryTheory.Limits.KernelFork f), s.π.app CategoryTheory.Limits.WalkingParallelPair.one = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
- CategoryTheory.Functor.conststatement · cited by 1,264
- CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
- CategoryTheory.Limits.parallelPairstatement · cited by 766
- CategoryTheory.Limits.Cone.πstatement · cited by 500
- CategoryTheory.Limits.KernelForkstatement and proof · cited by 108
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.