Theorems · Theorem · group theory
AddGroup.ResiduallyFinite.iInf_eq_bot
∀ {G : Type u_1} {inst : AddGroup G} [self : AddGroup.ResiduallyFinite G], ⨅ H, H.toAddSubgroup = ⊥- Defined in
- Mathlib.GroupTheory.ResiduallyFinite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup.ResiduallyFinite
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 · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- iInfstatement · cited by 1,690
- FiniteIndexNormalAddSubgroupstatement · cited by 26
- FiniteIndexNormalAddSubgroup.toAddSubgroupstatement · cited by 15
- AddGroup.ResiduallyFinitestatement and proof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- AddGroup.residuallyFinite_defproof · cited by 1