Theorems · Theorem · ring theory
TwoSidedIdeal.subset_span
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] {s : Set R}, s ⊆ ↑(TwoSidedIdeal.span s)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- SetLike.coestatement · cited by 8,199
- sub_zeroproof · cited by 938
- NonUnitalNonAssocRingstatement and proof · cited by 354
- SetLike.mem_coeproof · cited by 302
- TwoSidedIdealstatement · cited by 151
- TwoSidedIdeal.spanstatement and proof · cited by 9
- TwoSidedIdeal.mem_iffproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.mem_span_iffproof · cited by 6
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closure_nonunitalproof · cited by 0
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closureproof · cited by 0
- TwoSidedIdeal.span_inductionstatement and proof · cited by 0