Theorems · Theorem · category theory

CategoryTheory.Preadditive.isWeakLimitForkOfKernelFork_lift

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C] {X Y : C}
  {f g : X ⟶ Y} {c : CategoryTheory.Limits.KernelFork (f - g)} (i : CategoryTheory.Limits.IsWeakLimit c)
  (s : CategoryTheory.Limits.Fork f g),
  (CategoryTheory.Preadditive.isWeakLimitForkOfKernelFork i).lift s =
    i.lift (CategoryTheory.Preadditive.kernelForkOfFork s)

Defined in: Mathlib.CategoryTheory.Limits.WeakLimits.WeakKernels
Cited by: 0 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
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CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
CategoryTheory.Limits.parallelPairstatement · cited by 766
CategoryTheory.Limits.KernelForkstatement and proof · cited by 108
CategoryTheory.Limits.Forkstatement and proof · cited by 85
CategoryTheory.Limits.IsWeakLimitstatement and proof · cited by 23
CategoryTheory.Preadditive.forkOfKernelForkstatement · cited by 8
CategoryTheory.Limits.IsWeakLimit.liftstatement · cited by 8
CategoryTheory.Preadditive.kernelForkOfForkstatement · cited by 7

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