orderEmbedding — Mathlib

English

The order embedding from RingTopology R to AddGroupTopology R exists, reflecting the order.

Русский

Существует вложение по порядку from RingTopology до AddGroupTopology, сохраняющее порядок.

LaTeX

$$orderEmbedding : RingTopology R → AddGroupTopology R$$

Lean4

/-- The order embedding from ring topologies on `a` to additive group topologies on `a`. -/
def orderEmbedding : OrderEmbedding (RingTopology R) (AddGroupTopology R) :=
  OrderEmbedding.ofMapLEIff toAddGroupTopology fun _ _ => Iff.rfl

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