toNonUnitalSubring — Mathlib

English

A nonunital subalgebra S of A naturally carries the structure of a NonUnitalSubring of A.

Русский

Ненулевой подпалгебра S под A естественным образом несет структуру NonUnitalSubring над A.

LaTeX

$$$S \mapsto \text{toNonUnitalSubring}(S)$ defines a NonUnitalSubring structure on A$$

Lean4

/-- A non-unital subalgebra over a ring is also a `Subring`. -/
def toNonUnitalSubring (S : NonUnitalSubalgebra R A) : NonUnitalSubring A
    where
  toNonUnitalSubsemiring := S.toNonUnitalSubsemiring
  neg_mem' := neg_mem (s := S)

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