Theorems · Theorem · group theory
Set.preimage_neg_add_right_singleton
∀ {α : Type u_2} [inst : AddGroup α] {a b : α}, (fun x => -x + a) ⁻¹' {b} = {a - b}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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.
- Setstatement and proof · cited by 53,352
- Set.preimagestatement · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- Set.image_singletonproof · cited by 174
- Set.image_sub_leftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Filter.map_subLeft_nhdsNEproof · cited by 0