Theorems · Theorem · combinatorics
Fintype.prod_option
∀ {α : Type u_1} {M : Type u_4} [inst : Fintype α] [inst_1 : CommMonoid M] (f : Option α → M),
∏ i, f i = f none * ∏ i, f (some i)- Defined in
- Mathlib.Data.Fintype.BigOperators
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeCommMonoid
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.
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.prod_insertNoneproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.prod_eq_of_fintypeproof · cited by 2
- Fintype.prod_eq_mul_prod_subtype_neproof · cited by 0