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Theorems · Theorem · group theory

Set.preimage_inv_mul_right_singleton

∀ {α : Type u_2} [inst : Group α] {a b : α}, (fun x => x⁻¹ * a) ⁻¹' {b} = {a / b}
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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Filter.map_divLeft_nhdsNE · cited by 0Filter.map_divLeft_nhdsNESet · cited by 53352SetGroup · cited by 6238GroupSet.preimage · cited by 4946Set.preimageSet.image_singleton · cited by 174Set.image_singletonSet.image_div_left · cited by 2Set.image_div_leftSet.preimage_inv_mul_right_si…CITED BYCITES

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Cited by1

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