Theorems · Definition · ring theory
NonUnitalSubring.toAddSubgroup
{R : Type u} → [inst : NonUnitalNonAssocRing R] → NonUnitalSubring R → AddSubgroup RReinterpret a NonUnitalSubring as an AddSubgroup.
- Defined in
- Mathlib.RingTheory.NonUnitalSubring.Defs
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSubgroupstatement · cited by 3,232
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- NonUnitalSubsemiring.toAddSubmonoidproof · cited by 56
- NonUnitalSubring.toNonUnitalSubsemiringproof · cited by 15
- NonUnitalSubring.neg_mem'proof · cited by 0
Cited by14
Results whose statement or proof uses this declaration.
- NonUnitalSubring.mapproof · cited by 19
- NonUnitalSubring.comapproof · cited by 15
- NonUnitalSubring.prodproof · cited by 9
- NonUnitalSubring.topologicalClosureproof · cited by 4
- NonUnitalSubring.mem_iSup_of_directedproof · cited by 2
- NonUnitalSubring.mk'_toAddSubgroupstatement and proof · cited by 1
- NonUnitalSubring.toAddSubgroup_strictMonostatement · cited by 1
- NonUnitalSubring.toAddSubgroup_injectivestatement and proof · cited by 0
- NonUnitalSubring.toAddSubgroup_monostatement · cited by 0
- NonUnitalSubring.toAddSubgroup_topstatement · cited by 0
- NonUnitalSubring.coe_toAddSubgroupstatement · cited by 0
- NonUnitalSubring.sInf_toAddSubgroupstatement · cited by 0