isSimpleModule_self_iff_isUnit

∀ {R : Type u_2} [inst : Ring R], IsSimpleModule R R ↔ Nontrivial R ∧ ∀ (x : R), x ≠ 0 → IsUnit x

A ring is a simple module over itself iff it is a division ring.

Defined in: Mathlib.RingTheory.SimpleModule.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring

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