Theorems · Theorem · group theory
Subgroup.commutator_le_inf
∀ {G : Type u_1} [inst : Group G] (H₁ H₂ : Subgroup G) [H₁.Normal] [H₂.Normal], ⁅H₁, H₂⁆ ≤ H₁ ⊓ H₂- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Bracket.bracketstatement · cited by 642
- Subgroup.Normalstatement and proof · cited by 334
- le_infproof · cited by 107
- Subgroup.commutator_le_rightproof · cited by 4
- Subgroup.commutator_le_leftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.commutator_eq_bot_of_disjointproof · cited by 0