Theorems · Definition · group theory
AddSubgroup.addUnitsEquivSelf
{G : Type u_2} → [inst : AddGroup G] → (H : AddSubgroup G) → ↥H.addUnits ≃+ ↥HThe equivalence between the greatest subgroup of additive units
contained within T and T itself.
- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddEquivstatement · cited by 1,087
- AddEquiv.symmproof · cited by 530
- AddUnitsstatement · cited by 325
- AddSubgroup.toAddSubmonoidstatement and proof · cited by 91
- AddEquiv.transproof · cited by 53
- AddSubmonoid.addUnitsstatement · cited by 32
- toAddUnitsproof · cited by 8
- AddSubmonoid.addUnitsEquivAddUnitsTypeproof · cited by 4
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