Theorems · Theorem · group theory
AddSubgroup.addSubgroupOf_sup
∀ {G : Type u_1} [inst : AddGroup G] {A A' B : AddSubgroup G},
A ≤ B → A' ≤ B → (A ⊔ A').addSubgroupOf B = A.addSubgroupOf B ⊔ A'.addSubgroupOf B- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- le_transproof · cited by 985
- le_sup_leftproof · cited by 265
- sup_leproof · cited by 159
- inf_of_le_rightproof · cited by 128
- AddSubgroup.comapproof · cited by 123
- AddSubgroup.addSubgroupOfstatement · cited by 87
- AddSubgroup.subtypeproof · cited by 82
- AddSubgroup.range_subtypeproof · cited by 16
- AddSubgroup.map_supproof · cited by 5
- AddSubgroup.map_comap_eqproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.codisjoint_addSubgroupOf_supproof · cited by 0