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Theorems · Theorem · combinatorics

Finset.fold_singleton

∀ {α : Type u_1} {β : Type u_2} {op : β → β → β} [hc : Std.Commutative op] [ha : Std.Associative op] {f : α → β} {b : β}
  {a : α}, Finset.fold op b f {a} = op (f a) b
Defined in
Mathlib.Data.Finset.Fold
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
Std.CommutativeStd.Associative
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Finset.sum_singleton · cited by 251Finset.sum_singletonFinset.prod_singleton · cited by 78Finset.prod_singletonFinset · cited by 13712FinsetFinset.fold · cited by 46Finset.foldFinset.fold_singletonCITED BYCITES

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