Theorems · Theorem · group theory
Finset.prod_subtype
∀ {ι : Type u_1} {M : Type u_4} [inst : CommMonoid M] {p : ι → Prop} {F : Fintype (Subtype p)} (s : Finset ι),
(∀ (x : ι), x ∈ s ↔ p x) → ∀ (f : ι → M), ∏ a ∈ s, f a = ∏ a, f ↑a- Cited by
- 6 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.prod_congrproof · cited by 646
- Finset.prod_coe_sortproof · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- Fintype.prod_subtype_mul_prod_subtypeproof · cited by 2
- Finset.prod_set_coeproof · cited by 1
- Finset.prod_toFinset_eq_subtypeproof · cited by 0
- Fintype.prod_fiberwiseproof · cited by 0
- Fintype.prod_fiberwise'proof · cited by 0
- Finset.prod_congr_setproof · cited by 0