Theorems · Theorem · group theory
AddSubgroup.inf_normalizer_le_normalizer_inf
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G},
AddSubgroup.normalizer ↑H ⊓ AddSubgroup.normalizer ↑K ≤ AddSubgroup.normalizer ↑(H ⊓ K)- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
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.
- SetLike.coestatement and proof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.normalizerstatement and proof · cited by 59
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.normal_addSubgroupOf_of_le_normalizerproof · cited by 1
- AddSubgroup.inf_addSubgroupOf_inf_normal_of_leftproof · cited by 0
- AddSubgroup.inf_addSubgroupOf_inf_normal_of_rightproof · cited by 0