Theorems · Theorem · group theory
Subgroup.subgroupOf_inj
∀ {G : Type u_1} [inst : Group G] {H₁ H₂ K : Subgroup G}, H₁.subgroupOf K = H₂.subgroupOf K ↔ H₁ ⊓ K = H₂ ⊓ K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Subgroup.subgroupOfstatement · cited by 122
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.inf_subgroupOf_rightproof · cited by 3
- Subgroup.subgroupOf_eq_topproof · cited by 2
- Subgroup.subgroupOf_eq_botproof · cited by 1