Theorems · Definition · group theory

AddSubgroup.IsSubnormal.casesOn

∀ {G : Type u_2} [inst : AddGroup G] {motive : (a : AddSubgroup G) → a.IsSubnormal → Prop} {a : AddSubgroup G}
  (t : a.IsSubnormal),
  motive ⊤ ⋯ →
    (∀ (H K : AddSubgroup G) (h_le : H ≤ K) (hSubn : K.IsSubnormal) (hN : (H.addSubgroupOf K).Normal), motive H ⋯) →
      motive a t

Defined in: Mathlib.GroupTheory.IsSubnormal
Cited by: 0 results in Mathlib
Foundations: Depth 26 from the axioms · uses propext, Quot.sound
Assumes: AddGroup

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Top.topstatement and proof · cited by 9,680
AddGroupstatement and proof · cited by 4,410
AddSubgroupstatement and proof · cited by 3,232
AddSubgroup.Normalstatement and proof · cited by 183
AddSubgroup.addSubgroupOfstatement and proof · cited by 87
AddSubgroup.IsSubnormalstatement and proof · cited by 17

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