Theorems · Theorem · real analysis
BoxIntegral.Box.upper_sub_lower_splitCenterBox
∀ {ι : Type u_1} (I : BoxIntegral.Box ι) (s : Set ι) (i : ι),
(I.splitCenterBox s).upper i - (I.splitCenterBox s).lower i = (I.upper i - I.lower i) / 2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_zeroproof · cited by 1,870
- one_ne_zeroproof · cited by 885
- div_oneproof · cited by 629
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Box.upperstatement and proof · cited by 70
- BoxIntegral.Box.lowerstatement and proof · cited by 65
- Set.piecewise_eq_of_memproof · cited by 49
- Set.piecewise_eq_of_notMemproof · cited by 49
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.Box.subbox_induction_on'proof · cited by 1
- BoxIntegral.Prepartition.upper_sub_lower_of_mem_splitCenterproof · cited by 1