Theorems · Theorem · category theory
CategoryTheory.ShortComplex.HasLeftHomology.hasKernel
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
(S : CategoryTheory.ShortComplex C) [S.HasLeftHomology], CategoryTheory.Limits.HasKernel S.g- Cited by
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- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.X₂statement · cited by 1,115
- CategoryTheory.ShortComplex.X₃statement · cited by 876
- CategoryTheory.ShortComplex.gstatement · cited by 658
- CategoryTheory.Limits.HasKernelstatement · cited by 169
- CategoryTheory.ShortComplex.LeftHomologyData.iproof · cited by 144
- CategoryTheory.ShortComplex.HasLeftHomologystatement and proof · cited by 132
- CategoryTheory.ShortComplex.leftHomologyDataproof · cited by 83
- CategoryTheory.Limits.KernelFork.ofιproof · cited by 70
- CategoryTheory.ShortComplex.LeftHomologyData.wiproof · cited by 7
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