Mathlib Map

Theorems · Inductive type · category theory

ComplexShape.TensorSigns

{I : Type u_7} → [AddMonoid I] → ComplexShape I → Type u_7

If I is an additive monoid and c : ComplexShape I, c.TensorSigns contains the data of map ε : I → ℤˣ and properties which allows the construction of a TotalComplexShape c c c.

Defined in
Mathlib.Algebra.Homology.ComplexShapeSigns
Cited by
21 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
AddMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HomologicalComplex.tensorObj · cited by 6HomologicalComplex.tensor…ComplexShape.ε · cited by 6ComplexShape.εHomologicalComplex.ιTensorObj · cited by 5HomologicalComplex.ιTenso…HomologicalComplex.leftUnitor' · cited by 3HomologicalComplex.leftUn…ComplexShape.TensorSigns.ε' · cited by 3TensorSigns.ε'HomologicalComplex.rightUnitor' · cited by 2HomologicalComplex.rightU…HomologicalComplex.rightUnitor'_inv · cited by 1HomologicalComplex.rightU…HomologicalComplex.leftUnitor'_inv · cited by 1HomologicalComplex.leftUn…HomologicalComplex.leftUnitor'_inv_comm · cited by 1HomologicalComplex.leftUn…ComplexShape.TensorSigns.add_rel · cited by 1TensorSigns.add_relComplexShape.TensorSigns.rel_add · cited by 1TensorSigns.rel_addComplexShape.TensorSigns.ε'_succ · cited by 1TensorSigns.ε'_succComplexShape.add_rel · cited by 1ComplexShape.add_relHomologicalComplex.tensor_unit_d₂ · cited by 1HomologicalComplex.tensor…HomologicalComplex.unit_tensor_d₁ · cited by 1HomologicalComplex.unit_t…AddMonoid · cited by 2864AddMonoidComplexShape · cited by 1684ComplexShapeComplexShape.TensorSignsCITED BYCITES

Cites2

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Cited by41

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