lean4-htt/tests/lean/run/funind_fewer_levels.lean
Kyle Miller cdbe29b46d
feat: accurate binder names in signatures (like in output of #check) (#5827)
An important part of the interface of a function is the parameter names,
for making used of named arguments. This PR makes the parameter names
print in a reliable way. The parameters of the type now appear as
hygienic names if they cannot be used as named arguments.

Modifies the heuristic for how parameters are chosen to appear before or
after the colon. The rule is now that parameters start appearing after
the colon at the first non-dependent non-instance-implicit parameter
that has a name unusable as a named argument. This is a refinement of
#2846.

Fixes the issue where consecutive hygienic names pretty print without a
space separating them, so we now have `(x✝ y✝ : Nat)` rather than `(x✝y✝
: Nat)`.

Breaking change: `Lean.PrettyPrinter.Formatter.pushToken` now takes an
additional boolean `ident` argument, which should be `true` for
identifiers. Used to insert discretionary space between consecutive
identifiers.

Closes #5810
2024-10-29 16:43:11 +00:00

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/-!
This test checks if the functional induction principle has fewer universe parameters
if the original function has a parameter that disappears.
-/
namespace Structural
def foo.{u} : Nat → PUnit.{u}
| 0 => .unit
| n+1 => foo n
/--
info: Structural.foo.induct (motive : Nat → Prop) (case1 : motive 0) (case2 : ∀ (n : Nat), motive n → motive n.succ)
(a✝ : Nat) : motive a✝
-/
#guard_msgs in
#check foo.induct
example : foo n = .unit := by
induction n using foo.induct with
| case1 => unfold foo; rfl
| case2 n ih => unfold foo; exact ih
end Structural
namespace WellFounded
def foo.{u,v} {α : Type v} : List α → PUnit.{u}
| [] => .unit
| _ :: xs => foo xs
termination_by xs => xs
/--
info: WellFounded.foo.induct.{v} {α : Type v} (motive : List α → Prop) (case1 : motive [])
(case2 : ∀ (head : α) (xs : List α), motive xs → motive (head :: xs)) (a✝ : List α) : motive a✝
-/
#guard_msgs in
#check foo.induct
example : foo xs = .unit := by
induction xs using foo.induct with
| case1 => unfold foo; rfl
| case2 _ xs ih => unfold foo; exact ih
end WellFounded
namespace Mutual
mutual
def foo.{u} : Nat → PUnit.{u}
| 0 => .unit
| n+1 => bar n
termination_by n => n
def bar.{u} : Nat → PUnit.{u}
| 0 => .unit
| n+1 => foo n
termination_by n => n
end
/--
info: Mutual.foo.induct (motive1 motive2 : Nat → Prop) (case1 : motive1 0) (case2 : ∀ (n : Nat), motive2 n → motive1 n.succ)
(case3 : motive2 0) (case4 : ∀ (n : Nat), motive1 n → motive2 n.succ) (a✝ : Nat) : motive1 a✝
-/
#guard_msgs in
#check foo.induct
example : foo n = .unit := by
induction n using foo.induct (motive2 := fun n => bar n = .unit) with
| case1 => unfold foo; rfl
| case2 n ih => unfold foo; exact ih
| case3 => unfold bar; rfl
| case4 n ih => unfold bar; exact ih
end Mutual