Theorems · Theorem · ring theory
IsSimpleModule.isAtom
∀ {R : Type u_2} [inst : Ring R] {M : Type u_4} [inst_1 : AddCommGroup M] [inst_2 : Module R M] {m : Submodule R M}
[IsSimpleModule R ↥m], IsAtom m- Defined in
- Mathlib.RingTheory.SimpleModule.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- IsAtomstatement · cited by 130
- IsSimpleModulestatement and proof · cited by 114
- isSimpleModule_iff_isAtomproof · cited by 7
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