Mathlib Map

Theorems · Inductive type · real analysis

BoxIntegral.IntegrationParams

Type

An IntegrationParams is a structure holding 3 Boolean values used to define a filter to be used in the definition of a box-integrable function.

Defined in
Mathlib.Analysis.BoxIntegral.Partition.Filter
Cited by
101 results in Mathlib
Foundations
Depth 0 from the axioms, rests on 1 definitions · uses no axioms
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Around this declaration

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

BoxIntegral.Integrable · cited by 40BoxIntegral.IntegrableBoxIntegral.IntegrationParams.MemBaseSet · cited by 34IntegrationParams.MemBase…BoxIntegral.HasIntegral · cited by 30BoxIntegral.HasIntegralBoxIntegral.integral · cited by 25BoxIntegral.integralBoxIntegral.IntegrationParams.bDistortion · cited by 17IntegrationParams.bDistor…BoxIntegral.IntegrationParams.RCond · cited by 16IntegrationParams.RCondBoxIntegral.IntegrationParams.toFilteriUnion · cited by 16IntegrationParams.toFilte…BoxIntegral.IntegrationParams.bRiemann · cited by 15IntegrationParams.bRiemannBoxIntegral.Integrable.hasIntegral · cited by 14Integrable.hasIntegralBoxIntegral.IntegrationParams.bHenstock · cited by 12IntegrationParams.bHensto…BoxIntegral.IntegrationParams.MemBaseSet.isSubordinate · cited by 9MemBaseSet.isSubordinateBoxIntegral.Integrable.convergenceR · cited by 9Integrable.convergenceRBoxIntegral.HasIntegral.integral_eq · cited by 8HasIntegral.integral_eqBoxIntegral.IntegrationParams.MemBaseSet.distortion_le · cited by 6MemBaseSet.distortion_leBoxIntegral.IntegrationParams.MemBaseSet.isHenstock · cited by 6MemBaseSet.isHenstockBoxIntegral.IntegrationParamsCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by129

Results whose statement or proof uses this declaration.