Theorems · Theorem · real analysis
BoxIntegral.Prepartition.iUnion_top
∀ {ι : Type u_1} {I : BoxIntegral.Box ι}, ⊤.iUnion = ↑I- Cited by
- 4 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Top.topstatement · cited by 9,680
- Set.iUnionproof · cited by 2,483
- BoxIntegral.Boxstatement and proof · cited by 464
- Set.iUnion_congr_Propproof · cited by 374
- BoxIntegral.Prepartitionstatement · cited by 199
- BoxIntegral.Box.toSetstatement and proof · cited by 121
- BoxIntegral.Prepartition.iUnionstatement · cited by 71
- Set.iUnion_iUnion_eq_leftproof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- BoxIntegral.IntegrationParams.hasBasis_toFilteriUnion_topproof · cited by 3
- BoxIntegral.IntegrationParams.eventually_isPartitionproof · cited by 1
- BoxIntegral.IntegrationParams.exists_memBaseSet_isPartitionproof · cited by 1
- BoxIntegral.IntegrationParams.tendsto_embedBox_toFilteriUnion_topproof · cited by 1