Theorems · Definition · group theory
Submonoid.topEquiv
{M : Type u_5} → [inst : MulOneClass M] → ↥⊤ ≃* MThe top Submonoid is isomorphic to the Monoid.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
- Assumes
- MulOneClass
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
- Submonoidstatement · cited by 3,086
- MulEquivstatement · cited by 1,142
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.mem_topproof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- Subgroup.topEquivproof · cited by 10
- IsMulTorsion.torsionMulEquivproof · cited by 4
- Submonoid.topOrderMonoidIsoproof · cited by 2
- Submonoid.exponent_topproof · cited by 0
- Submonoid.topEquiv_applystatement and proof · cited by 0
- Submonoid.topEquiv_symm_apply_coestatement and proof · cited by 0
- Submonoid.topEquiv_toMonoidHomstatement · cited by 0