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Theorems · Inductive type · group theory

AddSubgroup.IsSubnormal.below

{G : Type u_2} →
  [inst : AddGroup G] →
    {motive : (a : AddSubgroup G) → a.IsSubnormal → Prop} → {a : AddSubgroup G} → a.IsSubnormal → Prop
Defined in
Mathlib.GroupTheory.IsSubnormal
Cited by
1 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
AddGroup
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Around this declaration

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

AddSubgroup.IsSubnormal.brecOn · cited by 0IsSubnormal.brecOnAddSubgroup.IsSubnormal.below.casesOn · cited by 0below.casesOnAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.IsSubnormal · cited by 17AddSubgroup.IsSubnormalIsSubnormal.belowCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.