lean4-htt/tests/lean/906.lean
2022-12-01 10:06:57 +01:00

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-- Print a nat using well-founded recursion
def natPrintAux (n : Nat) (sink : List Char) : List Char :=
if h0 : n < 10
then (n.digitChar :: sink)
else natPrintAux (n / 10) (Nat.digitChar (n % 10) :: sink)
termination_by' measure (fun ⟨n, _⟩ => n)
decreasing_by sorry
set_option maxRecDepth 100 -- default takes ages in debug mode and triggers stack space threshold
-- I meant to write `simp only [natPrintAux]`, but accidentally referenced the current theorem
theorem natPrintAux_eq (n : Nat) (sink : List Char) :
natPrintAux n sink = if n < 10 then (n.digitChar :: sink) else natPrintAux (n / 10) (Nat.digitChar (n % 10) :: sink) := by
simp only [natPrintAux_eq]