Theorems · Theorem · group theory
Subgroup.subgroupOf_sup
∀ {G : Type u_1} [inst : Group G] {A A' B : Subgroup G},
A ≤ B → A' ≤ B → (A ⊔ A').subgroupOf B = A.subgroupOf B ⊔ A'.subgroupOf B- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- le_transproof · cited by 985
- le_sup_leftproof · cited by 265
- Subgroup.subtypeproof · cited by 185
- sup_leproof · cited by 159
- Subgroup.comapproof · cited by 154
- inf_of_le_rightproof · cited by 128
- Subgroup.subgroupOfstatement · cited by 122
- Subgroup.range_subtypeproof · cited by 28
- Subgroup.map_supproof · cited by 7
- Subgroup.map_comap_eqproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- IsPGroup.to_sup_of_normal_right'proof · cited by 2
- Subgroup.codisjoint_subgroupOf_supproof · cited by 0