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Theorems · Theorem · group theory

Subsemigroup.unop_injective

∀ {M : Type u_2} [inst : Mul M], Function.Injective Subsemigroup.unop
Defined in
Mathlib.Algebra.Group.Subsemigroup.MulOpposite
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
Mul
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subsemigroup.unop_eq_bot · cited by 0Subsemigroup.unop_eq_botSubsemigroup.unop_eq_top · cited by 0Subsemigroup.unop_eq_topMulOpposite · cited by 1135MulOppositeOrderIso.symm · cited by 475OrderIso.symmSubsemigroup · cited by 323SubsemigroupOrderIso.injective · cited by 28OrderIso.injectiveSubsemigroup.unop · cited by 25Subsemigroup.unopSubsemigroup.opEquiv · cited by 18Subsemigroup.opEquivSubsemigroup.unop_injectiveCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.