Theorems · Theorem · ring theory
TwoSidedIdeal.span_mono
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] {s t : Set R}, s ⊆ t → TwoSidedIdeal.span s ≤ TwoSidedIdeal.span t- Cited by
- 3 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
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.
- Setstatement and proof · cited by 53,352
- SetLike.coeproof · cited by 8,199
- LE.le.transproof · cited by 3,151
- NonUnitalNonAssocRingstatement and proof · cited by 354
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.spanstatement and proof · cited by 9
- TwoSidedIdeal.mem_span_iffproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closure_nonunitalproof · cited by 0
- TwoSidedIdeal.map_monoproof · cited by 0
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closureproof · cited by 0