Theorems · Theorem · category theory
CategoryTheory.Limits.binaryBiconeOfIsSplitEpiOfKernel_pt
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {X Y : C} {f : X ⟶ Y}
[inst_2 : CategoryTheory.IsSplitEpi f] {c : CategoryTheory.Limits.KernelFork f} (i : CategoryTheory.Limits.IsLimit c),
(CategoryTheory.Limits.binaryBiconeOfIsSplitEpiOfKernel i).pt = X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
- CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
- CategoryTheory.Limits.parallelPairstatement · cited by 766
- CategoryTheory.Limits.IsLimitstatement and proof · cited by 664
- CategoryTheory.Limits.KernelForkstatement and proof · cited by 108
- CategoryTheory.Limits.BinaryBicone.ptstatement and proof · cited by 95
- CategoryTheory.IsSplitEpistatement and proof · cited by 46
- CategoryTheory.Limits.binaryBiconeOfIsSplitEpiOfKernelstatement and proof · cited by 5
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