instUnique — Mathlib

English

There is a unique instance of a Unique type: there exists a unique ContinuousMulEquiv M ≃ₜ* N when M,N have unique elements.

Русский

Существует единственный экземпляр типа Unique: существует едиственная ContinuousMulEquiv M ≃ₜ* N при наличии уникальных элементов M,N.

LaTeX

$$Unique (M ≃ₜ* N)$$

Lean4

/-- There is a unique monoid homomorphism between two monoids with a unique element. -/
@[to_additive /-- There is a unique additive monoid homomorphism between two additive monoids with
      a unique element. -/
    ]
instance {M N} [Unique M] [Unique N] [Mul M] [Mul N] [TopologicalSpace M] [TopologicalSpace N] : Unique (M ≃ₜ* N)
    where
  default := ofUnique
  uniq _ := ext fun _ ↦ Subsingleton.elim _ _

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