Theorems · Theorem · group theory
Finset.preimage_mul_right_one
∀ {α : Type u_2} [inst : Group α] {b : α}, Finset.preimage 1 (fun x => x * b) ⋯ = {b⁻¹}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 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.
Cites11
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
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Set.preimagestatement · cited by 4,946
- one_mulproof · cited by 2,841
- Function.Injective.injOnstatement · cited by 280
- Finset.preimagestatement · cited by 108
- Finset.onestatement · cited by 43
- mul_left_injectivestatement · cited by 19
- Finset.image_oneproof · cited by 3
- Finset.image_mul_right'proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.preimage_mul_right_one'proof · cited by 0