Mathlib Map

Theorems · Definition · logic and foundations

Part.Fix.approx

{α : Type u_1} → {β : α → Type u_2} → (((a : α) → Part (β a)) → (a : α) → Part (β a)) → Stream' ((a : α) → Part (β a))

A series of successive, finite approximation of the fixed point of f, defined by approx f n = f^[n] ⊥. The limit of this chain is the fixed point of f.

Defined in
Mathlib.Control.Fix
Cited by
11 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound

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.

  • Partstatement and proof · cited by 325
  • Stream'statement · cited by 205

Cited by13

Results whose statement or proof uses this declaration.