Theorems · Definition · group theory
AddGroup.ResiduallyFinite.casesOn
{G : Type u_1} →
[inst : AddGroup G] →
{motive : AddGroup.ResiduallyFinite G → Sort u} →
(t : AddGroup.ResiduallyFinite G) → ((iInf_eq_bot : ⨅ H, H.toAddSubgroup = ⊥) → 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
- AddGroup
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.
- Bot.botstatement and proof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- iInfstatement and proof · cited by 1,690
- FiniteIndexNormalAddSubgroupstatement and proof · cited by 26
- FiniteIndexNormalAddSubgroup.toAddSubgroupstatement and proof · cited by 15
- AddGroup.ResiduallyFinitestatement and proof · cited by 12
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