LocalSubring.isMax_iff

∀ {K : Type u_3} [inst : Field K] {A : LocalSubring K}, IsMax A ↔ ∃ B, B.toLocalSubring = A

A local subring is maximal with respect to the domination order if and only if it is a valuation ring.

Defined in: Mathlib.RingTheory.Valuation.LocalSubring
Cited by: 0 results in Mathlib
Foundations: Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field

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