Theorems · Theorem · real analysis
int_prod_range_pos
∀ {m : ℤ} {n : ℕ}, Even n → m ∉ Set.Ico 0 ↑n → 0 < ∏ k ∈ Finset.range n, (m - ↑k)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 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
- Finset.prodstatement and proof · cited by 2,356
- Finset.rangestatement and proof · cited by 1,341
- Set.Icostatement and proof · cited by 799
- Evenstatement and proof · cited by 444
- sub_eq_zeroproof · cited by 407
- Finset.mem_rangeproof · cited by 140
- LE.le.lt_of_neproof · cited by 116
- Finset.prod_eq_zero_iffproof · cited by 9
- int_prod_range_nonnegproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- strictConvexOn_zpowproof · cited by 0