inhabited — Mathlib

English

Abbrev nonUnitalCommRingTopologicalClosure: If S is a nonunital subring and S is commutative, then its topological closure is a nonunital commutative ring.

Русский

Сокращение: если неполное подкольцо коммутативно, то его топологическое замыкание — неполное коммутативное кольцо.

LaTeX

$$nonUnitalCommRingTopologicalClosure(S)(hs) : NonUnitalCommRing (S.topologicalClosure)$$

Lean4

instance inhabited {R : Type u} [Ring R] : Inhabited (RingTopology R) :=
  ⟨let _ : TopologicalSpace R := ⊤;
    { continuous_add := continuous_top
      continuous_mul := continuous_top
      continuous_neg := continuous_top }⟩

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