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Theorems · Theorem · group theory

AddSubsemigroup.op_injective

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

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

AddSubsemigroup.op_eq_top · cited by 0AddSubsemigroup.op_eq_topAddSubsemigroup.op_eq_bot · cited by 0AddSubsemigroup.op_eq_botAddOpposite · cited by 452AddOppositeAddSubsemigroup · cited by 262AddSubsemigroupAddSubsemigroup.op · cited by 28AddSubsemigroup.opOrderIso.injective · cited by 28OrderIso.injectiveAddSubsemigroup.opEquiv · cited by 18AddSubsemigroup.opEquivAddSubsemigroup.op_injectiveCITED BYCITES

Cites5

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.