Theorems · Theorem · category theory
CategoryTheory.ShortComplex.exact_unop_iff
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
(S : CategoryTheory.ShortComplex Cᵒᵖ), S.unop.Exact ↔ S.Exact- Cited by
- 2 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.Exactstatement · cited by 292
- CategoryTheory.ShortComplex.unopstatement and proof · cited by 44
- CategoryTheory.ShortComplex.exact_op_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.quasiIso_iff_of_zeros'proof · cited by 2
- CochainComplex.exactAt_opproof · cited by 1