Mathlib Map

Theorems · Theorem · combinatorics

Finset.fold_empty

∀ {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}, Finset.fold op b f ∅ = b
Defined in
Mathlib.Data.Finset.Fold
Cited by
3 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
Std.CommutativeStd.Associative
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.sup_empty · cited by 72Finset.sup_emptyFinset.inf_empty · cited by 15Finset.inf_emptyFinset.fold_image_idem · cited by 2Finset.fold_image_idemFinset · cited by 13712FinsetFinset.fold · cited by 46Finset.foldFinset.fold_emptyCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.