Theorems · Theorem · group theory
Subgroup.IsSubnormal.bot
∀ {G : Type u_1} [inst : Group G], ⊥.IsSubnormalThe trivial subgroup is subnormal.
- Defined in
- Mathlib.GroupTheory.IsSubnormal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Bot.botstatement · cited by 4,720
- Subgroupstatement · cited by 3,593
- Subgroup.IsSubnormalstatement · cited by 19
- Subgroup.Normal.isSubnormalproof · cited by 1
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