Theorems · Definition · group theory

Group.ResiduallyFinite.recOn

{G : Type u_1} →
  [inst : Group G] →
    {motive : Group.ResiduallyFinite G → Sort u} →
      (t : Group.ResiduallyFinite G) → ((iInf_eq_bot : ⨅ H, H.toSubgroup = ⊥) → motive ⋯) → motive t

Defined in: Mathlib.GroupTheory.ResiduallyFinite
Cited by: 0 results in Mathlib
Foundations: Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites7

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

Groupstatement and proof · cited by 6,238
Bot.botstatement and proof · cited by 4,720
Subgroupstatement · cited by 3,593
iInfstatement and proof · cited by 1,690
FiniteIndexNormalSubgroupstatement and proof · cited by 27
FiniteIndexNormalSubgroup.toSubgroupstatement and proof · cited by 15
Group.ResiduallyFinitestatement and proof · cited by 12

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.