Theorems · Definition · group theory
SemigroupIdeal.closure
{M : Type u_1} → [inst : Mul M] → Set M → SemigroupIdeal MThe 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
- Mul
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
- SemigroupIdealstatement · cited by 12
- SubMulAction.closureproof · cited by 6
Cited by12
Results whose statement or proof uses this declaration.
- SemigroupIdeal.FGproof · cited by 2
- SemigroupIdeal.coe_closurestatement and proof · cited by 2
- SemigroupIdeal.mem_closure_of_memstatement · cited by 1
- SemigroupIdeal.closure_lestatement · cited by 1
- SemigroupIdeal.coe_closure'statement · cited by 1
- SemigroupIdeal.mem_closurestatement · cited by 0
- SemigroupIdeal.mem_closure'statement · cited by 0
- SemigroupIdeal.mem_closure''statement · cited by 0
- SemigroupIdeal.subset_closurestatement · cited by 0
- SemigroupIdeal.closure_monostatement · cited by 0
- SemigroupIdeal.fg_iffstatement · cited by 0
- SemigroupIdeal.fg_of_wellQuasiOrderedLEproof · cited by 0