Theorems · Definition · commutative algebra
Ideal.span
{α : Type u} → [inst : Semiring α] → Set α → Ideal αThe ideal generated by a subset of a ring
- Defined in
- Mathlib.RingTheory.Ideal.Span
- Cited by
- 948 results in Mathlib
- Foundations
- Depth 18 from the axioms, rests on 186 definitions · uses propext, Quot.sound
- Assumes
- Semiring
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
- Semiringstatement and proof · cited by 13,802
- Idealstatement · cited by 4,748
- Submodule.spanproof · cited by 1,504
Cited by1,072
Results whose statement or proof uses this declaration.
- Ideal.mapproof · cited by 692
- AdjoinRootproof · cited by 177
- Ideal.FGproof · cited by 99
- Ideal.subset_spanstatement · cited by 86
- Ideal.span_lestatement · cited by 70
- Ideal.mem_span_singletonstatement · cited by 69
- AdjoinRoot.mkproof · cited by 50
- Ideal.map_spanstatement and proof · cited by 43
- Ideal.ofListproof · cited by 33
- Ideal.span_singleton_le_iff_memstatement · cited by 29
- Ring.ordproof · cited by 28
- RingHom.Locallyproof · cited by 28
Showing the 200 most cited of 1,072.