Theorems · Theorem · group theory
Finset.smul_finset_nonempty
∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : SMul α β] {s : Finset β} {a : α},
(a • s).Nonempty ↔ s.Nonempty- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqSMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Finset.Nonemptystatement · cited by 1,001
- Finset.smulFinsetstatement · cited by 101
- Finset.image_nonemptyproof · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.