Mathlib Map

Theorems · Theorem · group theory

AddSubgroup.toAddSubmonoid_le

∀ {G : Type u_1} [inst : AddGroup G] {p q : AddSubgroup G}, p.toAddSubmonoid ≤ q.toAddSubmonoid ↔ p ≤ q
Defined in
Mathlib.Algebra.Group.Subgroup.Defs
Cited by
4 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
AddGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubgroup.fg_iff_addSubmonoid_fg · cited by 6AddSubgroup.fg_iff_addSub…AddSubgroup.prod_le_iff · cited by 2AddSubgroup.prod_le_iffAddSubgroup.le_prod_iff · cited by 1AddSubgroup.le_prod_iffIsHausdorff.of_map · cited by 0IsHausdorff.of_mapAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubmonoid · cited by 1178AddSubmonoidAddSubgroup.toAddSubmonoid · cited by 91AddSubgroup.toAddSubmonoidAddSubgroup.toAddSubmonoid_leCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.