Theorems · Theorem · real analysis
BoxIntegral.Prepartition.iUnion_compl
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} [inst : Finite ι] (π : BoxIntegral.Prepartition I),
π.compl.iUnion = ↑I \ π.iUnion- Cited by
- 5 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Finitestatement and proof · cited by 3,029
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Box.toSetstatement · cited by 121
- BoxIntegral.Prepartition.iUnionstatement · cited by 71
- BoxIntegral.Prepartition.complstatement · cited by 12
- BoxIntegral.Prepartition.exists_iUnion_eq_sdiffproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- BoxIntegral.IntegrationParams.exists_memBaseSet_le_iUnion_eqproof · cited by 2
- BoxIntegral.IntegrationParams.MemBaseSet.exists_common_complproof · cited by 1
- BoxIntegral.Prepartition.IsPartition.compl_eq_botproof · cited by 1
- BoxIntegral.IntegrationParams.tendsto_embedBox_toFilteriUnion_topproof · cited by 1
- BoxIntegral.IntegrationParams.biUnionTagged_memBaseSetproof · cited by 1