Theorems · Theorem · group theory
Set.preimage_mul_left_one
∀ {α : Type u_2} [inst : Group α] {a : α}, (fun x => a * x) ⁻¹' 1 = {a⁻¹}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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.
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Set.preimagestatement · cited by 4,946
- mul_oneproof · cited by 3,885
- Set.onestatement · cited by 54
- Set.image_oneproof · cited by 5
- Set.image_mul_left'proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.preimage_mul_left_one'proof · cited by 0