Theorems · Theorem · group theory
Subgroup.commutator_eq_bot_of_disjoint
∀ {G : Type u_1} [inst : Group G] {H₁ H₂ : Subgroup G} [H₁.Normal] [H₂.Normal], Disjoint H₁ H₂ → ⁅H₁, H₂⁆ = ⊥- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- Bot.botstatement and proof · cited by 4,720
- Subgroupstatement and proof · cited by 3,593
- Disjointstatement and proof · cited by 2,201
- le_reflproof · cited by 2,061
- Bracket.bracketstatement · cited by 642
- Eq.leproof · cited by 605
- le_imp_le_of_le_of_leproof · cited by 576
- Subgroup.Normalstatement and proof · cited by 334
- eq_bot_iffproof · cited by 159
- Disjoint.eq_botproof · cited by 52
- Subgroup.commutator_le_infproof · cited by 1
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