Theorems · Definition · group theory
AddCon.addSubgroup
{G : Type u_1} → [inst : AddGroup G] → AddCon G → AddSubgroup GThe AddSubgroup defined by the class of 0 for an additive congruence relation
on an AddGroup.
- Defined in
- Mathlib.GroupTheory.QuotientGroup.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Set.ofPredproof · cited by 6,101
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddConstatement and proof · cited by 138
Cited by5
Results whose statement or proof uses this declaration.
- AddSubgroup.orderIsoAddConproof · cited by 3
- AddCon.mem_addSubgroup_iffstatement · cited by 2
- AddCon.addSubgroup_quotientAddGroupConstatement · cited by 0
- QuotientAddGroup.con_addSubgroupstatement and proof · cited by 0
- AddSubgroup.orderIsoAddCon_symm_apply_coestatement · cited by 0