Mathlib Map

Theorems · Definition · group theory

MulEquiv.ofUnique

{M : Type u_16} → {N : Type u_17} → [Unique M] → [Unique N] → [inst : Mul M] → [inst_1 : Mul N] → M ≃* N

The MulEquiv between two monoids with a unique element.

Defined in
Mathlib.Algebra.Group.Equiv.Basic
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
UniqueUniqueMulMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.SpecialLinearGroup.center_equiv_rootsOfUnity · cited by 2SpecialLinearGroup.center…Matrix.SpecialLinearGroup.eq_scalar_center_equiv_rootsOfUnity · cited by 1SpecialLinearGroup.eq_sca…ContinuousMulEquiv.ofUnique · cited by 0ContinuousMulEquiv.ofUniq…RingEquiv.ofUnique · cited by 0RingEquiv.ofUniqueEquiv · cited by 8337EquivMulEquiv · cited by 1142MulEquivUnique · cited by 400UniqueEquiv.ofUnique · cited by 5Equiv.ofUniqueMulEquiv.ofUniqueCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.