Theorems · Theorem · number theory
Rat.cast_sum
∀ {ι : Type u_1} {α : Type u_2} [inst : DivisionRing α] [CharZero α] (s : Finset ι) (f : ι → ℚ),
↑(∑ i ∈ s, f i) = ∑ i ∈ s, ↑(f i)- Defined in
- Mathlib.Data.Rat.BigOperators
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingCharZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- DivisionRingstatement and proof · cited by 1,062
- CharZerostatement and proof · cited by 932
- map_sumproof · cited by 455
- Rat.castHomproof · cited by 33
Cited by3
Results whose statement or proof uses this declaration.
- log_add_one_le_harmonicproof · cited by 1
- harmonic_le_one_add_logproof · cited by 1
- Rat.cast_finsupp_sumproof · cited by 0