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Theorems · Definition · group theory

Set.semigroup

{α : Type u_2} → [Semigroup α] → Semigroup (Set α)

Set α is a Semigroup under pointwise operations if α is.

Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
0 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semigroup

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
  • Set.mulproof · cited by 297
  • Semigroupstatement and proof · cited by 202

Cited by2

Results whose statement or proof uses this declaration.