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Theorems · Theorem · group theory

Subsemigroup.unop_sSup

∀ {M : Type u_2} [inst : Mul M] (S : Set (Subsemigroup Mᵐᵒᵖ)), (sSup S).unop = sSup (Subsemigroup.op ⁻¹' S)
Defined in
Mathlib.Algebra.Group.Subsemigroup.MulOpposite
Cited by
0 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Mul
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Set · cited by 53352SetSet.preimage · cited by 4946Set.preimageMulOpposite · cited by 1135MulOppositeSupSet.sSup · cited by 954SupSet.sSupOrderIso.symm · cited by 475OrderIso.symmSubsemigroup · cited by 323SubsemigroupSubsemigroup.op · cited by 28Subsemigroup.opSubsemigroup.unop · cited by 25Subsemigroup.unopSubsemigroup.opEquiv · cited by 18Subsemigroup.opEquivOrderIso.map_sSup_eq_sSup_symm_preimage · cited by 18OrderIso.map_sSup_eq_sSup…Subsemigroup.unop_sSupCITED BYCITES

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