lean4-htt/tests/lean/run/inductive_univ.lean
jrr6 fa1da03d50
feat: update structure/inductive error messages (#9592)
This PR updates the styling and wording of error messages produced in
inductive type declarations and anonymous constructor notation,
including hints for inferable constructor visibility updates.
2025-07-29 21:27:30 +00:00

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/-!
# Tests of universe constraint testing in the `inductive` command
-/
set_option pp.mvars false
set_option pp.universes true
/-!
Given the resultant type, infer that the `x` parameter is `Type`.
-/
inductive T0 : Type where
| mk (x : PUnit.{_+1})
/-- info: T0.mk (x : PUnit.{1}) : T0 -/
#guard_msgs in #check T0.mk
/-!
Given the resultant type, infer that the `x` parameter is `Type` as well.
-/
inductive T1 : Type where
| mk (x : PUnit.{_+1} × PUnit.{_+1})
/-- info: T1.mk (x : Prod.{0, 0} PUnit.{1} PUnit.{1}) : T1 -/
#guard_msgs in #check T1.mk
/-!
Given the resultant type is `Prop`, do not do this inference. Get two universe levels.
-/
inductive T3 : Prop where
| mk (x : PUnit.{_+1} × PUnit.{_+1})
/-- info: T3.mk.{u_1, u_2} (x : Prod.{u_1, u_2} PUnit.{u_1 + 1} PUnit.{u_2 + 1}) : T3.{u_1, u_2} -/
#guard_msgs in #check T3.mk
/-!
Given the resultant type, fail to infer a level for `PUnit` if there's not a unique solution.
-/
/--
error: Invalid universe level in constructor `E0.mk`: Parameter `x` has type
PUnit.{u_1}
at universe level
u_1
which is not less than or equal to the inductive type's resulting universe level
1
-/
#guard_msgs in
inductive E0 : Type where
| mk (x : PUnit)
/-!
Given the resultant type, fail to infer a level for `PUnit` if there's not a unique solution.
-/
/--
error: Invalid universe level in constructor `E1.mk`: Parameter `x` has type
Prod.{u_1, u_2} PUnit.{u_1 + 1} PUnit.{u_2 + 1}
at universe level
max (u_1+1) (u_2+1)
which is not less than or equal to the inductive type's resulting universe level
2
-/
#guard_msgs in
inductive E1 : Type 1 where
| mk (x : PUnit × PUnit)
/-!
`Sort` polymorphism is not allowed.
-/
/--
error: Invalid universe polymorphic resulting type: The resulting universe is not `Prop`, but it may be `Prop` for some parameter values:
Sort u
Hint: A possible solution is to use levels of the form `max 1 _` or `_ + 1` to ensure the universe is of the form `Type _`
-/
#guard_msgs in
inductive P (α : Sort u) : Sort u where
| mk (x : α)
/-!
Errors for `structure` are specialized to talking about fields.
-/
/--
error: Invalid universe level for field `α`: Field has type
Type
at universe level
2
which is not less than or equal to the structure's resulting universe level
1
-/
#guard_msgs in
structure A : Type where
α : Type
/-!
Errors for `structure` talk about parent projection fields too.
(Note: it could easily point to `A'` and say the error is field `α`.)
-/
structure A' where
α : Type
/--
error: Invalid universe level for field `α`: Field has type
Type
at universe level
2
which is not less than or equal to the structure's resulting universe level
1
-/
#guard_msgs in
structure B : Type extends A'