pith. machine review for the scientific record. sign in
theorem proved term proof

tickRecursor_succ

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

  87@[simp] theorem tickRecursor_succ {X : Type u} (x : X) (f : X → X) (t : Tick) :
  88    tickRecursor x f (tickSucc t) = f (tickRecursor x f t) := rfl

proof body

Term-mode proof.

  89
  90/-- **Tick is a Lawvere natural-number object.** Together with `tickZero`
  91and `tickSucc`, the `Tick` type satisfies the universal property of the
  92natural-number object: primitive recursion exists and is unique. -/

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (17)

Lean names referenced from this declaration's body.