Theorems · Theorem · group theory
Finset.neg_vadd_mem_iff
∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : AddGroup α] [inst_2 : AddAction α β] {s : Finset β}
{a : α} {b : β}, -a +ᵥ b ∈ s ↔ b ∈ a +ᵥ s- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddGroupAddAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- Finset.vaddFinsetstatement · cited by 70
- vadd_neg_vaddproof · cited by 31
- Finset.vadd_mem_vadd_finset_iffproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Finset.ruzsa_covering_addproof · cited by 2
- Finset.neg_op_vadd_finset_distribproof · cited by 1
- Finset.neg_vadd_finset_distribproof · cited by 1