Mathlib Map

Theorems · Theorem · group theory

Subgroup.subgroupOf_self

∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), H.subgroupOf H = ⊤
Defined in
Mathlib.Algebra.Group.Subgroup.Map
Cited by
3 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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

Subgroup.relIndex_self · cited by 2Subgroup.relIndex_selfSubgroup.IsSubnormal.isSubnormal_iff · cited by 1IsSubnormal.isSubnormal_i…Subgroup.codisjoint_subgroupOf_sup · cited by 0Subgroup.codisjoint_subgr…Top.top · cited by 9680Top.topGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.subgroupOf · cited by 122Subgroup.subgroupOftop_unique · cited by 102top_uniqueSubgroup.subgroupOf_selfCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.