Theorems · Theorem · number theory
NNRat.cast_prod
∀ {α : Type u_1} {K : Type u_2} [inst : Semifield K] [CharZero K] (s : Finset α) (f : α → ℚ≥0),
↑(∏ a ∈ s, f a) = ∏ a ∈ s, ↑(f a)- Defined in
- Mathlib.Data.NNRat.BigOperators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.prodstatement · cited by 2,356
- CharZerostatement and proof · cited by 932
- NNRatstatement and proof · cited by 523
- Semifieldstatement and proof · cited by 439
- NNRat.caststatement · cited by 235
- map_prodproof · cited by 108
- NNRat.castHomproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- NNRat.toNNRat_prod_of_nonnegproof · cited by 0