Theorems · Theorem · category theory
HomologicalComplex.isSupportedOutside_op_iff
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} {C : Type u_3}
[inst : CategoryTheory.Category.{v_1, u_3} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
(K : HomologicalComplex C c') (e : c.Embedding c'), K.op.IsSupportedOutside e.op ↔ K.IsSupportedOutside e- Cited by
- 1 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.
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
- Oppositestatement · cited by 8,081
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- ComplexShape.Embeddingstatement and proof · cited by 337
- ComplexShape.symmstatement · cited by 83
- HomologicalComplex.opstatement and proof · cited by 50
- ComplexShape.Embedding.opstatement and proof · cited by 26
- HomologicalComplex.IsSupportedOutsidestatement and proof · cited by 8
- HomologicalComplex.ExactAt.opproof · cited by 4
- HomologicalComplex.ExactAt.unopproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- HomologicalComplex.acyclic_truncLE_iff_isSupportedOutsideproof · cited by 2