Theorems · Theorem · group theory
Finset.preimage_mul_right_singleton
∀ {α : Type u_2} [inst : Group α] {a b : α}, {b}.preimage (fun x => x * a) ⋯ = {b * a⁻¹}- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites9
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
- Function.Injective.injOnstatement · cited by 280
- Finset.preimagestatement · cited by 108
- Finset.image_singletonproof · cited by 21
- mul_left_injectivestatement · cited by 19
- Finset.image_mul_right'proof · cited by 2
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