def Std.BitVec.iunfoldr {w : Nat} {α : Type u_1} (f : Fin w → α → α × Bool) (s : α) : α × Std.BitVec w

iunfoldr is an iterative operation that applies a function f repeatedly.

It produces a sequence of state values [s_0, s_1 .. s_w] and a bitvector v where f i s_i = (s_{i+1}, b_i) and b_i is bit ith least-significant bit in v (e.g., getLsb v i = b_i).

Theorems involving iunfoldr can be eliminated using iunfoldr_replace below.

Equations

• One or more equations did not get rendered due to their size.

theorem Std.BitVec.iunfoldr.fst_eq {w : Nat} {α : Type u_1} {f : Fin w → α → α × Bool} (state : Nat → α) (s : α) (init : s = state 0) (ind : ∀ (i : Fin w), (f i (state i.val)).fst = state (i.val + 1)) : (Std.BitVec.iunfoldr f s).fst = state w

theorem Std.BitVec.iunfoldr_replace {w : Nat} {α : Type u_1} {f : Fin w → α → α × Bool} (state : Nat → α) (value : Std.BitVec w) (a : α) (init : state 0 = a) (step : ∀ (i : Fin w), f i (state i.val) = (state (i.val + 1), Std.BitVec.getLsb value i.val)) : Std.BitVec.iunfoldr f a = (state w, value)

Correctness theorem for iunfoldr.