lean4-htt/tests/lean/termination_by_where.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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Text

/-!
This module systematically tests the relative placement of `decreasing_by` and `where`.
-/
-- For concise recursive definition that need well-founded recursion
-- and `decreasing_by` tactics that would fail if run on the wrong function
opaque dec1 : Nat → Nat
axiom dec1_lt (n : Nat) : dec1 n < n
opaque dec2 : Nat → Nat
axiom dec2_lt (n : Nat) : dec2 n < n
def foo (n : Nat) := foo (dec1 n) + bar n
decreasing_by apply dec1_lt
where
bar (m : Nat) : Nat := bar (dec2 m)
decreasing_by apply dec2_lt