Theorems · Theorem · group theory
Finset.mem_vadd
∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : VAdd α β] {s : Finset α} {t : Finset β} {x : β},
x ∈ s +ᵥ t ↔ ∃ y ∈ s, ∃ z ∈ t, y +ᵥ z = x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqVAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- VAddstatement and proof · cited by 616
- Finset.vaddstatement · cited by 35
- Finset.mem_image₂proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Finset.op_vadd_finset_vadd_eq_vadd_vadd_finsetproof · cited by 1