Theorems · Theorem · real analysis
BoxIntegral.le_hasIntegralVertices_of_isBounded
∀ {ι : Type u_1} [Finite ι] {s : Set (ι → ℝ)}, Bornology.IsBounded s → ∃ B, BoxIntegral.hasIntegralVertices B ∧ s ⊆ ↑BAny bounded set is contained in a BoxIntegral.Box with integral vertices.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 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.
Cites21
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
- Fintypeproof · cited by 7,736
- Finitestatement and proof · cited by 3,029
- le_of_ltproof · cited by 1,175
- le_transproof · cited by 985
- Metric.ballproof · cited by 735
- BoxIntegral.Boxstatement and proof · cited by 464
- SeminormedAddGroupproof · cited by 331
- Bornology.IsBoundedstatement and proof · cited by 293
- Fintype.ofFiniteproof · cited by 255
- Nat.ceilproof · cited by 141
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_tsum_div_pow_atTop_integralproof · cited by 1