Theorems · Definition · group theory
Subgroup.ofUnitsTopEquiv
{M : Type u_1} → [inst : Monoid M] → ↥⊤.ofUnits ≃* MˣThe equivalence between the top subgroup of Mˣ coerced to a submonoid M and the
units of M.
- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Monoidstatement and proof · cited by 3,887
- Subgroupstatement · cited by 3,593
- Submonoidstatement · cited by 3,086
- Unitsstatement · cited by 2,804
- MulEquivstatement · cited by 1,142
- MulEquiv.transproof · cited by 53
- Subgroup.ofUnitsstatement · cited by 31
- Subgroup.topEquivproof · cited by 10
- Subgroup.ofUnitsEquivTypeproof · cited by 0
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