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Theorems · Definition · real analysis

BoxIntegral.Box.lower

{ι : Type u_2} → BoxIntegral.Box ι → ι → ℝ

coordinates of the lower and upper corners of the box

Defined in
Mathlib.Analysis.BoxIntegral.Box.Basic
Cited by
65 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
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Around this declaration

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

BoxIntegral.Box.Icc · cited by 76Box.IccBoxIntegral.Box.distortion · cited by 21Box.distortionBoxIntegral.Box.face · cited by 13Box.faceBoxIntegral.Box.lower_lt_upper · cited by 13Box.lower_lt_upperBoxIntegral.Box.splitCenterBox · cited by 12Box.splitCenterBoxBoxIntegral.Box.splitLower · cited by 11Box.splitLowerBoxIntegral.Box.splitUpper · cited by 11Box.splitUpperBoxIntegral.Box.lower_le_upper · cited by 10Box.lower_le_upperBoxIntegral.Box.coe_eq_pi · cited by 9Box.coe_eq_piBoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eq · cited by 6Prepartition.exists_tagge…BoxIntegral.Box.Ioo · cited by 6Box.IooBoxIntegral.hasIntegralVertices · cited by 5BoxIntegral.hasIntegralVe…BoxIntegral.Box.coe_splitLower · cited by 4Box.coe_splitLowerBoxIntegral.Box.coe_splitUpper · cited by 4Box.coe_splitUpperBoxIntegral.Box.le_iff_bounds · cited by 4Box.le_iff_boundsReal · cited by 25697RealBoxIntegral.Box · cited by 464BoxIntegral.BoxBox.lowerCITED BYCITES

Cites2

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

Cited by75

Results whose statement or proof uses this declaration.