Theorems · Theorem · real analysis
BoxIntegral.Box.coe_eq_pi
∀ {ι : Type u_1} (I : BoxIntegral.Box ι), ↑I = Set.univ.pi fun i => Set.Ioc (I.lower i) (I.upper i)- Defined in
- Mathlib.Analysis.BoxIntegral.Box.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.univstatement · cited by 3,945
- Set.extproof · cited by 2,266
- Set.Iocstatement · cited by 971
- BoxIntegral.Boxstatement and proof · cited by 464
- Set.pistatement · cited by 405
- BoxIntegral.Box.toSetstatement · cited by 121
- BoxIntegral.Box.upperstatement · cited by 70
- BoxIntegral.Box.lowerstatement · cited by 65
- BoxIntegral.Box.mem_univ_Iocproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- BoxIntegral.Box.measurableSet_coeproof · cited by 5
- BoxIntegral.Box.coe_infproof · cited by 3
- BoxIntegral.Box.coe_mk'proof · cited by 3
- BoxIntegral.Box.volume_applyproof · cited by 3
- BoxIntegral.unitPartition.volume_boxproof · cited by 2
- BoxIntegral.Box.le_TFAEproof · cited by 2
- BoxIntegral.hasIntegral_GP_pderivproof · cited by 1
- BoxIntegral.Box.volume_apply'proof · cited by 0
- BoxIntegral.Box.coe_ae_eq_Iccproof · cited by 0