Theorems · Theorem · real analysis
BoxIntegral.Box.nonempty_coe
∀ {ι : Type u_1} (I : BoxIntegral.Box ι), (↑I).Nonempty- Defined in
- Mathlib.Analysis.BoxIntegral.Box.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Set.Nonemptystatement · cited by 2,627
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Box.toSetstatement · cited by 121
- BoxIntegral.Box.exists_memproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- BoxIntegral.Box.coe_ne_emptyproof · cited by 2
- BoxIntegral.integrable_of_bounded_and_ae_continuousWithinAtproof · cited by 2
- BoxIntegral.Box.injective_splitCenterBoxproof · cited by 0
- BoxIntegral.Box.isSome_iffproof · cited by 0