Theorems · Theorem · group theory
AddSubgroup.addCommutator_comm_le
∀ {G : Type u_1} [inst : AddGroup G] (H₁ H₂ : AddSubgroup G), ⁅H₁, H₂⁆ ≤ ⁅H₂, H₁⁆- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
Cites7
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
- Bracket.bracketstatement and proof · cited by 642
- AddSubgroup.addCommutator_leproof · cited by 11
- AddSubgroup.addCommutator_mem_addCommutatorproof · cited by 9
- AddSubgroup.neg_mem_iffproof · cited by 5
- addCommutatorElement_negproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.addCommutator_commproof · cited by 6