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Theorems · Definition · order theory

EInt

Type

The type of extended integers [-∞, ∞], constructed as WithBot (WithTop ℤ).

Defined in
Mathlib.Order.WithBotTop
Cited by
119 results in Mathlib
Foundations
Depth 3 from the axioms, rests on 6 definitions · uses no axioms
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Around this declaration

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

CategoryTheory.Triangulated.TStructure.eTruncLT · cited by 62TStructure.eTruncLTCategoryTheory.Triangulated.TStructure.eTruncGE · cited by 57TStructure.eTruncGECategoryTheory.Triangulated.TStructure.eTruncLTι · cited by 36TStructure.eTruncLTιCategoryTheory.Triangulated.TStructure.eTruncGEπ · cited by 25TStructure.eTruncGEπCategoryTheory.Triangulated.TStructure.ω₁ · cited by 16TStructure.ω₁CategoryTheory.Triangulated.TStructure.eTriangleLTGE · cited by 14TStructure.eTriangleLTGECategoryTheory.Triangulated.TStructure.eTruncLTGEIsoGELT · cited by 12TStructure.eTruncLTGEIsoG…CategoryTheory.Triangulated.TStructure.eTruncGEδLT · cited by 11TStructure.eTruncGEδLTCategoryTheory.Triangulated.TStructure.triangleω₁δ · cited by 10TStructure.triangleω₁δCategoryTheory.Triangulated.TStructure.eTruncLTLTIsoLT · cited by 8TStructure.eTruncLTLTIsoLTCategoryTheory.Triangulated.TStructure.ω₁δ · cited by 8TStructure.ω₁δCategoryTheory.Triangulated.TStructure.eTruncGEIsoGEGE · cited by 6TStructure.eTruncGEIsoGEGECategoryTheory.Abelian.SpectralObject.coreE₂Cohomological · cited by 5SpectralObject.coreE₂Coho…CategoryTheory.Abelian.SpectralObject.coreE₂CohomologicalNat · cited by 5SpectralObject.coreE₂Coho…CategoryTheory.Abelian.SpectralObject.coreE₂HomologicalNat · cited by 5SpectralObject.coreE₂Homo…WithBotTop · cited by 30WithBotTopEIntCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by150

Results whose statement or proof uses this declaration.