lean4-htt/tests/lean/run/issue8939.lean
Marc Huisinga 9d427fdfcf
feat: "try this" messages with support for interactivity (#10524)
This PR adds support for interactivity to the combined "try this"
messages that were introduced in #9966. In doing so, it moves the link
to apply a suggestion to a separate `[apply]` button in front of the
suggestion. Hints with diffs remain unchanged, as they did not
previously support interacting with terms in the diff, either.

<img width="379" height="256" alt="Suggestion with interactive message"
src="https://github.com/user-attachments/assets/7838ebf6-0613-46e7-bc88-468a05acbf51"
/>
2025-10-13 13:39:03 +00:00

75 lines
2.1 KiB
Text

module
public axiom P : Nat → Prop
public axiom P.intro : P n
public inductive AckFuel : (n m : Nat) → Type where
| step1 : AckFuel 0 m
| step2 : AckFuel n 1 → AckFuel (n + 1) 0
| step3 : (∀ m', P m' → AckFuel n m') → AckFuel (n + 1) m → AckFuel (n+1) (m + 1)
namespace Test1
/--
info: Try this:
[apply] termination_by structural x _ x => x
-/
#guard_msgs in
public def ackermann_fuel : (n m : Nat) → (fuel : AckFuel n m) → Nat
| 0, m, .step1 => m+1
| n + 1, 0, .step2 f => ackermann_fuel n 1 f
| n + 1, m + 1, .step3 f1 f2 =>
ackermann_fuel n (ackermann_fuel (n + 1) m f2) (f1 _ (by exact P.intro))
termination_by?
end Test1
namespace Test2
/--
info: Try this:
[apply] termination_by structural x _ x => x
-/
#guard_msgs in
public def ackermann_fuel : (n m : Nat) → (fuel : AckFuel n m) → Nat
| 0, m, .step1 => m+1
| n + 1, 0, .step2 f => ackermann_fuel n 1 f
| n + 1, m + 1, .step3 f1 f2 =>
ackermann_fuel n (ackermann_fuel (n + 1) m f2) (f1 _ (by as_aux_lemma => exact P.intro))
termination_by?
end Test2
namespace Test3
/--
info: Try this:
[apply] termination_by structural x _ x => x
-/
#guard_msgs in
@[expose] public def ackermann_fuel : (n m : Nat) → (fuel : AckFuel n m) → Nat
| 0, m, .step1 => m+1
| n + 1, 0, .step2 f => ackermann_fuel n 1 f
| n + 1, m + 1, .step3 f1 f2 =>
ackermann_fuel n (ackermann_fuel (n + 1) m f2) (f1 _ (by exact P.intro))
termination_by?
end Test3
namespace Test4
-- This checks that when unfolding abstracted proofs, we do not unfold function calls
-- that were actually there, like the one to `Function.cons` below
/--
error: failed to infer structural recursion:
Cannot use parameter #3:
unexpected occurrence of recursive application
ackermann_fuel
-/
#guard_msgs in
public def ackermann_fuel : (n m : Nat) → (fuel : AckFuel n m) → Nat
| 0, m, .step1 => m+1
| n + 1, 0, .step2 f => ackermann_fuel n 1 f
| n + 1, m + 1, .step3 f1 f2 =>
Function.const _
( ackermann_fuel n (ackermann_fuel (n + 1) m f2) (f1 _ (by exact P.intro))
)
ackermann_fuel
termination_by structural _ _ fuel => fuel
end Test4