Theorems · Theorem · group theory
AddSubgroup.addCommutator_le_sup
∀ {G : Type u_1} [inst : AddGroup G] (H₁ H₂ : AddSubgroup G), ⁅H₁, H₂⁆ ≤ H₁ ⊔ H₂- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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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 · cited by 642
- AddSubgroup.addCommutator_leproof · cited by 11
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