lean4-htt/tests/lean/run/mergeSort.lean
jrr6 62f14514da
refactor: update built-in tactic error messages (#9633)
This PR updates various error messages produced by or associated with
built-in tactics and adapts their formatting to current conventions.
2025-07-31 14:16:57 +00:00

60 lines
1.9 KiB
Text

open List MergeSort Internal
-- If we omit the comparator, it is filled by the autoparam `fun a b => a ≤ b`
example : mergeSort [3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5] = [1, 1, 2, 3, 3, 4, 5, 5, 5, 6, 9] :=
by native_decide
example : mergeSort [3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5] (· ≤ ·) = [1, 1, 2, 3, 3, 4, 5, 5, 5, 6, 9] :=
by native_decide
example : mergeSort [3, 100 + 1, 4, 100 + 1, 5, 100 + 9, 2, 10 + 6, 5, 10 + 3, 5] (fun x y => x/10 ≤ y/10) = [3, 4, 5, 2, 5, 5, 16, 13, 101, 101, 109] :=
by native_decide
example : mergeSortTR [3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5] = [1, 1, 2, 3, 3, 4, 5, 5, 5, 6, 9] :=
by native_decide
example : mergeSortTR [3, 100 + 1, 4, 100 + 1, 5, 100 + 9, 2, 10 + 6, 5, 10 + 3, 5] (fun x y => x/10 ≤ y/10) = [3, 4, 5, 2, 5, 5, 16, 13, 101, 101, 109] :=
by native_decide
example : mergeSortTR₂ [3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5] = [1, 1, 2, 3, 3, 4, 5, 5, 5, 6, 9] :=
by native_decide
example : mergeSortTR₂ [3, 100 + 1, 4, 100 + 1, 5, 100 + 9, 2, 10 + 6, 5, 10 + 3, 5] (fun x y => x/10 ≤ y/10) = [3, 4, 5, 2, 5, 5, 16, 13, 101, 101, 109] :=
by native_decide
/-!
# Behaviour of mergeSort when the comparator is not provided, but typeclasses are missing.
-/
inductive NoLE
| mk : NoLE
/--
error: could not synthesize default value for parameter 'le' using tactics
---
error: failed to synthesize
LE NoLE
Hint: Additional diagnostic information may be available using the `set_option diagnostics true` command.
-/
#guard_msgs in
example : mergeSort [NoLE.mk] = [NoLE.mk] := sorry
inductive UndecidableLE
| mk : UndecidableLE
instance : LE UndecidableLE where
le := fun _ _ => true
/--
error: could not synthesize default value for parameter 'le' using tactics
---
error: Type mismatch
a ≤ b
has type
Prop
but is expected to have type
Bool
-/
#guard_msgs in
example : mergeSort [UndecidableLE.mk] = [UndecidableLE.mk] := sorry