Theorems · Theorem · group theory
SemigroupIdeal.mem_closure_of_mem
∀ {M : Type u_1} [inst : Mul M] {s : Set M} {x : M}, x ∈ s → x ∈ SemigroupIdeal.closure s- Defined in
- Mathlib.Algebra.Group.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- Mul
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
- SemigroupIdealstatement · cited by 12
- SemigroupIdeal.closurestatement · cited by 11
- SubMulAction.mem_closure_of_memproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SemigroupIdeal.coe_closureproof · cited by 2