Mathlib Map

Theorems · Theorem · group theory

Subgroup.bot_subgroupOf

∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), ⊥.subgroupOf H = ⊥
Defined in
Mathlib.Algebra.Group.Subgroup.Map
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
Group
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Around this declaration

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

Subgroup.relIndex_bot_left · cited by 4Subgroup.relIndex_bot_leftSubgroup.subgroupOf_eq_bot · cited by 1Subgroup.subgroupOf_eq_botGroup · cited by 6238GroupBot.bot · cited by 4720Bot.botSubgroup · cited by 3593SubgroupSubgroup.subgroupOf · cited by 122Subgroup.subgroupOfSubgroup.ext · cited by 108Subgroup.extSubgroup.bot_subgroupOfCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.