Theorems · Theorem · measure theory
BoxIntegral.Box.volume_face_mul
∀ {n : ℕ} (i : Fin (n + 1)) (I : BoxIntegral.Box (Fin (n + 1))),
(∏ j, ((I.face i).upper j - (I.face i).lower j)) * (I.upper i - I.lower i) = ∏ j, (I.upper j - I.lower j)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidproof · cited by 2,264
- mul_commproof · cited by 2,262
- Finset.prod_congrproof · cited by 646
- BoxIntegral.Boxstatement and proof · cited by 464
- Fin.succAboveproof · cited by 249
- BoxIntegral.Box.upperstatement and proof · cited by 70
- BoxIntegral.Box.lowerstatement and proof · cited by 65
- BoxIntegral.Box.facestatement · cited by 13
- Fin.prod_univ_succAboveproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_leproof · cited by 1