IsLocalRing.of_nonunits_add

∀ {R : Type u_1} [inst : Semiring R] [Nontrivial R],
  (∀ (a b : R), a ∈ nonunits R → b ∈ nonunits R → a + b ∈ nonunits R) → IsLocalRing R

A semiring is local if it is nontrivial and the set of nonunits is closed under the addition.

Defined in: Mathlib.RingTheory.LocalRing.Basic
Cited by: 2 results in Mathlib
Foundations: Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring Nontrivial

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