Theorems · Theorem · group theory
AddSubgroup.IsFinitelyNormallyGenerated.bot
∀ {G : Type u_1} [inst : AddGroup G], ⊥.IsFinitelyNormallyGeneratedThe trivial additive group is the normal closure of a finite set of relations.
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- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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- Bot.botstatement and proof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddSubgroup.IsFinitelyNormallyGeneratedstatement · cited by 8
- AddSubgroup.IsFinitelyNormallyGenerated.of_FGproof · cited by 1
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