Theorems · Definition · group theory
AddSubmonoid.topEquiv
{M : Type u_5} → [inst : AddZeroClass M] → ↥⊤ ≃+ MThe top AddSubmonoid is isomorphic to the AddMonoid.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- AddEquivstatement · cited by 1,087
- AddSubmonoid.mem_topproof · cited by 20
Cited by7
Results whose statement or proof uses this declaration.
- AddSubgroup.topEquivproof · cited by 8
- IsAddTorsion.torsionAddEquivproof · cited by 4
- NonUnitalSubsemiring.topEquivproof · cited by 2
- AddSubmonoid.topEquiv_applystatement and proof · cited by 0
- AddSubmonoid.topEquiv_symm_apply_coestatement and proof · cited by 0
- AddSubmonoid.topEquiv_toAddMonoidHomstatement · cited by 0
- AddSubmonoid.exponent_topproof · cited by 0