Theorems · Definition · ring theory
TwoSidedIdeal.span
{R : Type u_1} → [inst : NonUnitalNonAssocRing R] → Set R → TwoSidedIdeal RThe smallest two-sided ideal containing a set.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NonUnitalNonAssocRingstatement and proof · cited by 354
- TwoSidedIdealstatement · cited by 151
- ringConGenproof · cited by 18
Cited by11
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.mem_span_iffstatement and proof · cited by 6
- TwoSidedIdeal.subset_spanstatement and proof · cited by 4
- TwoSidedIdeal.span_monostatement and proof · cited by 3
- TwoSidedIdeal.fromIdealproof · cited by 2
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closure_absorbingstatement and proof · cited by 2
- TwoSidedIdeal.mapproof · cited by 1
- TwoSidedIdeal.span_lestatement · cited by 1
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closure_nonunitalstatement and proof · cited by 0
- TwoSidedIdeal.span_inductionstatement and proof · cited by 0
- TwoSidedIdeal.mem_fromIdealstatement · cited by 0
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closurestatement and proof · cited by 0