Theorems · Definition · group theory
AddSemigroupIdeal.closure
{M : Type u_1} → [inst : Add M] → Set M → AddSemigroupIdeal MThe additive semigroup ideal generated by a set s.
- Defined in
- Mathlib.Algebra.Group.Ideal
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- AddSemigroupIdealstatement · cited by 12
- SubAddAction.closureproof · cited by 6
Cited by12
Results whose statement or proof uses this declaration.
- AddSemigroupIdeal.FGproof · cited by 2
- AddSemigroupIdeal.coe_closurestatement and proof · cited by 2
- AddSemigroupIdeal.closure_lestatement · cited by 1
- AddSemigroupIdeal.coe_closure'statement · cited by 1
- AddSemigroupIdeal.mem_closure''statement · cited by 1
- AddSemigroupIdeal.mem_closure_of_memstatement · cited by 1
- AddSemigroupIdeal.closure_monostatement · cited by 0
- AddSemigroupIdeal.fg_iffstatement · cited by 0
- AddSemigroupIdeal.fg_of_wellQuasiOrderedLEproof · cited by 0
- AddSemigroupIdeal.mem_closurestatement · cited by 0
- AddSemigroupIdeal.mem_closure'statement · cited by 0
- AddSemigroupIdeal.subset_closurestatement · cited by 0