Theorems · Theorem · commutative algebra
Finset.Rat.den_sum_dvd_prod_den
∀ {ι : Type u_3} (s : Finset ι) (f : ι → ℚ), (∑ i ∈ s, f i).den ∣ ∏ i ∈ s, (f i).den- Defined in
- Mathlib.Algebra.GCDMonoid.FinsetLemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.sumstatement · cited by 5,195
- Finset.prodstatement · cited by 2,356
- Dvd.dvd.transproof · cited by 148
- Finset.lcm_dvd_prodproof · cited by 2
- Finset.Rat.den_sum_dvd_lcm_denproof · cited by 1
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