Theorems · Theorem · group theory
AddSubgroup.Normal.of_addCommutator_le
∀ (G : Type u_1) [inst : AddGroup G] {H : AddSubgroup G}, addCommutator G ≤ H → H.Normal- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites8
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
- LE.le.transproof · cited by 3,151
- le_topproof · cited by 411
- AddSubgroup.Normalstatement · cited by 183
- addCommutatorstatement and proof · cited by 17
- AddSubgroup.addCommutator_monoproof · cited by 7
- AddSubgroup.addCommutator_top_left_le_iffproof · cited by 2
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