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[Merged by Bors] - doc(RingTheory): fix local ring doc comment #39765

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[Merged by Bors] - doc(RingTheory): fix local ring doc comment #39765

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8 changes: 4 additions & 4 deletions Mathlib/RingTheory/LocalRing/Defs.lean
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Expand Up @@ -12,14 +12,14 @@ public import Mathlib.Algebra.Ring.Defs

# Local rings

Define local rings as commutative rings having a unique maximal ideal.
Define the notion of a local ring for non-commutative semirings. In the commutative case,
this is shown to be equivalent to the familiar definition that there exists a unique
maximal ideal in `IsLocalRing.of_unique_max_ideal` and `IsLocalRing.maximal_ideal_unique`.

## Main definitions

* `IsLocalRing`: A predicate on semirings, stating that for any pair of elements that
adds up to `1`, one of them is a unit. In the commutative case this is shown to be equivalent
to the condition that there exists a unique maximal ideal, see
`IsLocalRing.of_unique_max_ideal` and `IsLocalRing.maximal_ideal_unique`.
adds up to `1`, one of them is a unit.

-/

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