Theorems · Theorem · general algebraic systems
Finset.prod_eraseNone
∀ {α : Type u_1} {M : Type u_2} [inst : CommMonoid M] (f : α → M) (s : Finset (Option α)),
∏ x ∈ Finset.eraseNone s, f x = ∏ x ∈ s, Option.elim' 1 f x- Defined in
- Mathlib.Algebra.BigOperators.Option
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- OrderHomstatement · cited by 934
- Finset.eraseproof · cited by 455
- Finset.prod_mapproof · cited by 75
- Function.Embedding.someproof · cited by 43
- Option.elim'statement and proof · cited by 30
- Finset.eraseNonestatement and proof · cited by 21
- Finset.map_some_eraseNoneproof · cited by 3
- Finset.prod_eraseproof · cited by 2
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