Theorems · Theorem · group theory
Finset.vadd_finset_nonempty
∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : VAdd α β] {s : Finset β} {a : α},
(a +ᵥ s).Nonempty ↔ s.Nonempty- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqVAdd
Around this declaration
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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.vaddFinsetstatement · cited by 70
- Finset.image_nonemptyproof · cited by 12
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