Mathlib Map

Theorems · Definition · logic and foundations

Set.prod

{α : Type u} → {β : Type v} → Set α → Set β → Set (α × β)

The Cartesian product Set.prod s t is the set of (a, b) such that a ∈ s and b ∈ t.

Defined in
Mathlib.Data.Set.Operations
Cited by
6 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites2

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.ofPredproof · cited by 6,101

Cited by7

Results whose statement or proof uses this declaration.