Theorems · Theorem · group theory

Finset.Nonempty.vadd

∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : VAdd α β] {s : Finset α} {t : Finset β},
  s.Nonempty → t.Nonempty → (s +ᵥ t).Nonempty

Defined in: Mathlib.Algebra.Group.Pointwise.Finset.Scalar
Cited by: 0 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidableEq VAdd

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites6

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

Finsetstatement and proof · cited by 13,712
HVAdd.hVAddstatement · cited by 1,820
Finset.Nonemptystatement · cited by 1,001
VAddstatement and proof · cited by 616
Finset.vaddstatement · cited by 35
Finset.Nonempty.image₂proof · cited by 10

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.