to_nonarchimedeanAddGroup — Mathlib

English

Repeating: V in the toAddGroupFilterBasis iff V = B_i for some i.

Русский

Повторение: V в toAddGroupFilterBasis тогда и только тогда, когда V = B_i для некоторого i.

LaTeX

$$V ∈ hB.toRingFilterBasis.toAddGroupFilterBasis ↔ ∃ i, V = B i$$

Lean4

/-- Every nonarchimedean ring is naturally a nonarchimedean additive group. -/
instance (priority := 100) to_nonarchimedeanAddGroup (R : Type*) [Ring R] [TopologicalSpace R]
    [t : NonarchimedeanRing R] : NonarchimedeanAddGroup R :=
  { t with }

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