lean4-htt/tests/lean/terminationFailure.lean.expected.out
Kyle Miller f336525f31
fix: make delabConstWithSignature avoid using inaccessible names (#3625)
The `delabConstWithSignature` delaborator is responsible for pretty
printing constants with a declaration-like signature, with binders, a
colon, and a type. This is used by the `#check` command when it is given
just an identifier.

It used to accumulate binders from pi types indiscriminately, but this
led to unfriendly behavior. For example, `#check String.append` would
give
```
String.append (a✝ : String) (a✝¹ : String) : String
```
with inaccessible names. These appear because `String.append` is defined
using patterns, so it never names these parameters.

Now the delaborator stops accumulating binders once it reaches an
inaccessible name, and for example `#check String.append` now gives
```
String.append : String → String → String
```
We do not synthesize names for the sake of enabling binder syntax
because the binder names are part of the API of a function — one can use
`(arg := ...)` syntax to pass arguments by name. The delaborator also
now stops accumulating binders once it reaches a parameter with a name
already seen before — we then rely on the main delaborator to provide
that parameter with a fresh name when pretty printing the pi type.

As a special case, instance parameters with inaccessible names are
included as binders, pretty printing like `[LT α]`, rather than
relegating them (and all the remaining parameters) to after the colon.
It would be more accurate to pretty print this as `[inst✝ : LT α]`, but
we make the simplifying assumption that such instance parameters are
generally used via typeclass inference. Likely `inst✝` would not
directly appear in pretty printer output, and even if it appears in a
hover, users can likely figure out what is going on. (We may consider
making such `inst✝` variables pretty print as `‹LT α›` or
`infer_instance` in the future, to make this more consistent.)

Something we note here is that we do not do anything to make sure
parameters that can be used as named arguments actually appear named
after the colon (nor do we assure that the names are the correct names).
For example, one sees `foo : String → String → String` rather than `foo
: String → (baz : String) → String`. We can investigate this later if it
is wanted.

We also give `delabConstWithSignature` a `universes` flag to enable
turning off pretty printing universe levels parameters.

Closes #2846
2024-03-07 18:14:06 +00:00

38 lines
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terminationFailure.lean:7:2-7:3: error: fail to show termination for
f.g
f
with errors
structural recursion does not handle mutually recursive functions
Could not find a decreasing measure.
The arguments relate at each recursive call as follows:
(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
Call from f.g to f at 9:9-12:
x1
x =
Call from f to f.g at 3:4-7:
x
x1 =
Please use `termination_by` to specify a decreasing measure.
f (x : Nat) : Nat
f.g : Nat → Nat
1
2
terminationFailure.lean:24:9-24:12: error: fail to show termination for
h
with errors
argument #1 was not used for structural recursion
failed to eliminate recursive application
h x
structural recursion cannot be used
failed to prove termination, possible solutions:
- Use `have`-expressions to prove the remaining goals
- Use `termination_by` to specify a different well-founded relation
- Use `decreasing_by` to specify your own tactic for discharging this kind of goal
x : Nat
⊢ False
h (x : Nat) : Foo
Foo.a