Theorems · Definition · group theory
Subgroup.ofUnitsEquivType
{M : Type u_1} → [inst : Monoid M] → (S : Subgroup Mˣ) → ↥S.ofUnits ≃* ↥SThe equivalence between the coercion of a subgroup S of Mˣ to a submonoid of M and
the subgroup itself as a type.
- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement · cited by 3,086
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- MulEquivstatement · cited by 1,142
- Subgroup.ofUnitsstatement and proof · cited by 31
- Subgroup.unit_of_mem_ofUnitsproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.ofUnitsTopEquivproof · cited by 0