Mathlib Map

Theorems · Definition · group theory

AddSubsemigroup.topEquiv

{M : Type u_1} → [inst : Add M] → ↥⊤ ≃+ M

The top additive subsemigroup is isomorphic to the additive semigroup.

Defined in
Mathlib.Algebra.Group.Subsemigroup.Operations
Cited by
4 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
Add
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LinearOrderedAddCommGroup.int_orderAddMonoidIso_of_isLeast_pos · cited by 1LinearOrderedAddCommGroup…AddSubsemigroup.topEquiv_apply · cited by 0AddSubsemigroup.topEquiv_…AddSubsemigroup.topEquiv_symm_apply_coe · cited by 0AddSubsemigroup.topEquiv_…AddSubsemigroup.topEquiv_toAddHom · cited by 0AddSubsemigroup.topEquiv_…AddSubsemigroup.strictMono_topEquiv · cited by 0AddSubsemigroup.strictMon…Top.top · cited by 9680Top.topAddEquiv · cited by 1087AddEquivAddSubsemigroup · cited by 262AddSubsemigroupAddSubsemigroup.mem_top · cited by 5AddSubsemigroup.mem_topAddSubsemigroup.topEquivCITED BYCITES

Cites4

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

Cited by5

Results whose statement or proof uses this declaration.