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Theorems · Definition · group theory

Submonoid.unitsEquivIsUnitSubmonoid

{M : Type u_1} → [inst : Monoid M] → (S : Submonoid M) → ↥S.units ≃* ↥(IsUnit.submonoid ↥S)

The equivalence between the subgroup of units of S and the submonoid of unit elements of S.

Defined in
Mathlib.Algebra.Group.Submonoid.Units
Cited by
1 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Monoid

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