Theorems · Theorem · group theory
Fintype.prod_subtype_mul_prod_subtype
∀ {M : Type u_4} {ι : Type u_7} [inst : Fintype ι] [inst_1 : CommMonoid M] (p : ι → Prop) (f : ι → M)
[inst_2 : DecidablePred p], (∏ i, f ↑i) * ∏ i, f ↑i = ∏ i, f i- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Set.ofPredproof · cited by 6,101
- Finset.univstatement and proof · cited by 3,473
- Compl.complproof · cited by 2,925
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Set.toFinsetproof · cited by 217
- Set.toFinset_ofPredproof · cited by 13
- Finset.compl_filterproof · cited by 11
- Finset.prod_subtypeproof · cited by 6
- Finset.prod_mul_prod_complproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.prod_eq_prod_mul_prodproof · cited by 3
- MeasureTheory.measurePreserving_piEquivPiSubtypeProdproof · cited by 1