Theorems · Theorem · group theory
AddSubgroup.IsSubnormal.bot
∀ {G : Type u_1} [inst : AddGroup G], ⊥.IsSubnormalThe trivial additive subgroup is subnormal.
- Defined in
- Mathlib.GroupTheory.IsSubnormal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddSubgroup.IsSubnormalstatement · cited by 17
- AddSubgroup.Normal.isSubnormalproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.IsSubnormal.of_subsingletonproof · cited by 0