Theorems · Theorem · group theory
AddSubgroup.addSubgroupOf_eq_bot
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G}, H.addSubgroupOf K = ⊥ ↔ Disjoint H K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement and proof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Disjointstatement · cited by 2,201
- AddSubgroup.addSubgroupOfstatement and proof · cited by 87
- disjoint_iffproof · cited by 76
- bot_inf_eqproof · cited by 11
- AddSubgroup.addSubgroupOf_injproof · cited by 3
- AddSubgroup.bot_addSubgroupOfproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.isSimpleAddGroup_iffproof · cited by 0