Theorems · Theorem · group theory
AddSubgroup.inf_addSubgroupOf_inf_normal_of_left
∀ {G : Type u_1} [inst : AddGroup G] {A' A : AddSubgroup G} (B : AddSubgroup G) [hN : (A'.addSubgroupOf A).Normal],
((A' ⊓ B).addSubgroupOf (A ⊓ B)).Normal- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupAddSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- le_transproof · cited by 985
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.addSubgroupOfstatement and proof · cited by 87
- AddSubgroup.normalizerproof · cited by 59
- inf_le_infproof · cited by 54
- inf_idemproof · cited by 37
- inf_inf_inf_commproof · cited by 13
- AddSubgroup.le_normalizerproof · cited by 6
- AddSubgroup.normal_addSubgroupOf_iff_le_normalizer_infproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.