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Theorems · Definition · group theory

AddAction.IsPreprimitive.casesOn

{G : Type u_1} →
  {X : Type u_2} →
    [inst : VAdd G X] →
      {motive : AddAction.IsPreprimitive G X → Sort u} →
        (t : AddAction.IsPreprimitive G X) →
          ([toIsPretransitive : AddAction.IsPretransitive G X] →
              (isTrivialBlock_of_isBlock : ∀ {B : Set X}, AddAction.IsBlock G B → AddAction.IsTrivialBlock B) →
                motive ⋯) →
            motive t
Defined in
Mathlib.GroupTheory.GroupAction.Primitive
Cited by
0 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
VAdd
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Set · cited by 53352SetVAdd · cited by 616VAddAddAction.IsBlock · cited by 65AddAction.IsBlockAddAction.IsPretransitive · cited by 56AddAction.IsPretransitiveAddAction.IsPreprimitive · cited by 25AddAction.IsPreprimitiveAddAction.IsTrivialBlock · cited by 11AddAction.IsTrivialBlockIsPreprimitive.casesOnCITED BYCITES

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