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Theorems · Theorem · order theory

Set.image_inv_Ioo

∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a b : α),
  Inv.inv '' Set.Ioo a b = Set.Ioo b⁻¹ a⁻¹
Defined in
Mathlib.Algebra.Order.Group.Pointwise.Interval
Cited by
0 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommGroupPartialOrderIsOrderedMonoid
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Set · cited by 53352SetPartialOrder · cited by 6410PartialOrderSet.image · cited by 5609Set.imageSet.Ioo · cited by 1214Set.IooCommGroup · cited by 990CommGroupIsOrderedMonoid · cited by 577IsOrderedMonoidSet.image_inv_eq_inv · cited by 44Set.image_inv_eq_invSet.inv_Ioo · cited by 2Set.inv_IooSet.image_inv_IooCITED BYCITES

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