Theorems · Theorem · real analysis
int_prod_range_nonneg
∀ (m : ℤ) (n : ℕ), Even n → 0 ≤ ∏ k ∈ Finset.range n, (m - ↑k)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- LE.le.transproof · cited by 3,151
- add_zeroproof · cited by 2,707
- Finset.prodstatement and proof · cited by 2,356
- LT.lt.leproof · cited by 2,189
- mul_assocproof · cited by 1,667
- Finset.rangestatement and proof · cited by 1,341
- add_assocproof · cited by 746
- Evenstatement and proof · cited by 444
- mul_addproof · cited by 413
- mul_nonnegproof · cited by 397
- le_or_gtproof · cited by 269
Cited by1
Results whose statement or proof uses this declaration.
- int_prod_range_posproof · cited by 1