Theorems · Theorem · group theory
Subgroup.subgroupOf_mono
∀ {G : Type u_1} [inst : Group G] {H₁ H₂ : Subgroup G} (H₃ : Subgroup G), H₁ ≤ H₂ → H₁.subgroupOf H₃ ≤ H₂.subgroupOf H₃- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Subgroup.comap_monoproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.isFiniteRelIndex_of_le_leftproof · cited by 1