Theorems · Theorem · ring theory
Int.cast_prod
∀ {ι : Type u_5} {R : Type u_6} [inst : CommRing R] (f : ι → ℤ) (s : Finset ι), ↑(∏ i ∈ s, f i) = ∏ i ∈ s, ↑(f i)- Defined in
- Mathlib.Algebra.BigOperators.Ring.Finset
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Finsetstatement and proof · cited by 13,712
- Finset.prodstatement · cited by 2,356
- Int.castRingHomproof · cited by 254
- map_prodproof · cited by 108
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.resultant_commproof · cited by 11
- Matrix.det_blockDiagonalproof · cited by 4
- Polynomial.Chebyshev.iterate_derivative_U_eval_oneproof · cited by 3
- Polynomial.Chebyshev.iterate_derivative_T_eval_oneproof · cited by 2
- Equiv.Perm.prod_Iio_comp_eq_sign_mul_prodproof · cited by 1
- Int.prod_modEq_iteproof · cited by 0
- Int.prod_modEq_singleproof · cited by 0
- Int.cast_finsuppProdproof · cited by 0