Theorems · Theorem · group theory
AddSubgroup.IsSubnormal.brecOn
∀ {G : Type u_2} [inst : AddGroup G] {motive : (a : AddSubgroup G) → a.IsSubnormal → Prop} {a : AddSubgroup G}
(t : a.IsSubnormal),
(∀ (a : AddSubgroup G) (t : a.IsSubnormal), AddSubgroup.IsSubnormal.below t → motive a t) → 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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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.Normalproof · cited by 183
- AddSubgroup.addSubgroupOfproof · cited by 87
- AddSubgroup.IsSubnormalstatement and proof · cited by 17
- AddSubgroup.IsSubnormal.belowstatement and proof · cited by 1
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