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Theorems · Definition · ring theory

IsSimpleModule.casesOn

{R : Type u_2} →
  [inst : Ring R] →
    {M : Type u_4} →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] →
          {motive : IsSimpleModule R M → Sort u} →
            (t : IsSimpleModule R M) → ([toIsSimpleOrder : IsSimpleOrder (Submodule R M)] → motive ⋯) → motive t
Defined in
Mathlib.RingTheory.SimpleModule.Basic
Cited by
1 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingAddCommGroupModule
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isSimpleModule_iff · cited by 12isSimpleModule_iffModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupRing · cited by 7463RingSubmodule · cited by 7192SubmoduleIsSimpleModule · cited by 114IsSimpleModuleIsSimpleOrder · cited by 54IsSimpleOrderIsSimpleModule.casesOnCITED BYCITES

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Cited by1

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