Mathlib Map

Theorems · Theorem · combinatorics

Finset.biUnion_singleton

∀ {α : Type u_1} {β : Type u_2} {s : Finset α} [inst : DecidableEq β] {f : α → β},
  (s.biUnion fun a => {f a}) = Finset.image f s
Defined in
Mathlib.Data.Finset.Union
Cited by
2 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Finsupp.mapDomain_support · cited by 10Finsupp.mapDomain_supportMvPolynomial.support_esymm · cited by 1MvPolynomial.support_esymmFinset · cited by 13712FinsetFinset.image · cited by 910Finset.imageFinset.biUnion · cited by 217Finset.biUnionFinset.biUnion_singletonCITED BYCITES

Cites3

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

Cited by2

Results whose statement or proof uses this declaration.