Theorems · Theorem · group theory

Set.Finite.toFinset_smul

∀ {α : Type u_2} {β : Type u_3} [inst : SMul α β] [inst_1 : DecidableEq β] {s : Set α} {t : Set β} (hs : s.Finite)
  (ht : t.Finite) (hf : optParam (s • t).Finite ⋯), hf.toFinset = hs.toFinset • ht.toFinset

Defined in: Mathlib.Algebra.Group.Pointwise.Finset.Scalar
Cited by: 0 results in Mathlib
Foundations: Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: SMul DecidableEq

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites9

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

Setstatement and proof · cited by 53,352
Finsetstatement · cited by 13,712
Set.Finitestatement and proof · cited by 1,814
Set.Finite.toFinsetstatement · cited by 351
Set.smulstatement · cited by 110
Finset.smulstatement · cited by 45
Set.Finite.image2proof · cited by 16
Set.Finite.toFinset_image2proof · cited by 5
Set.Finite.smulstatement · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.