Theorems · Theorem · group theory
SemigroupIdeal.closure_le
∀ {M : Type u_1} [inst : Mul M] {s : Set M} {I : SemigroupIdeal M}, SemigroupIdeal.closure s ≤ I ↔ s ⊆ ↑I- Defined in
- Mathlib.Algebra.Group.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.coestatement · cited by 8,199
- SemigroupIdealstatement and proof · cited by 12
- SemigroupIdeal.closurestatement · cited by 11
- SubMulAction.closure_leproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SemigroupIdeal.coe_closureproof · cited by 2