lean4-htt/tests/lean/906.lean
Joachim Breitner b5122b6a7b feat: per-function termination hints
This change

 * moves `termination_by` and `decreasing_by` next to the function they
   apply to
 * simplify the syntax of `termination_by`
 * apply the `decreasing_by` goal to all goals at once, for better
   interactive use.

See the section in `RELEASES.md` for more details and migration advise.

This is a hard breaking change, requiring developers to touch every
`termination_by` in their code base. We decided to still do it as a
hard-breaking change, because supporting both old and new syntax at the
same time would be non-trivial, and not save that much. Moreover, this
requires changes to some metaprograms that developers might have
written, and supporting both syntaxes at the same time would make
_their_ migration harder.
2024-01-10 17:27:35 +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 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]