lean4-htt/tests/lean/run/wfEqns5.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

132 lines
2.6 KiB
Text

def foo : Nat → Nat → Nat
| 0, m => match m with | 0 => 0 | m => m
| n+1, m => foo n m
termination_by n => n
/--
info: equations:
theorem foo.eq_1 : foo 0 0 = 0
theorem foo.eq_2 : ∀ (x : Nat), (x = 0 → False) → foo 0 x = x
theorem foo.eq_3 : ∀ (x n : Nat), foo n.succ x = foo n x
-/
#guard_msgs in
#print equations foo
/--
info: foo.eq_def (x✝ x✝¹ : Nat) :
foo x✝ x✝¹ =
match x✝, x✝¹ with
| 0, m =>
match m with
| 0 => 0
| m => m
| n.succ, m => foo n m
-/
#guard_msgs in
#check foo.eq_def
/-- error: unknown identifier 'foo.eq_4' -/
#guard_msgs in
#check foo.eq_4
set_option backward.eqns.deepRecursiveSplit false in
def bar : Nat → Nat → Nat
| 0, m => match m with | 0 => 0 | m => m
| n+1, m => bar n m
termination_by n => n
/--
info: equations:
theorem bar.eq_1 : ∀ (x : Nat),
bar 0 x =
match x with
| 0 => 0
| m => m
theorem bar.eq_2 : ∀ (x n : Nat), bar n.succ x = bar n x
-/
#guard_msgs in
#print equations bar
/--
info: bar.eq_def (x✝ x✝¹ : Nat) :
bar x✝ x✝¹ =
match x✝, x✝¹ with
| 0, m =>
match m with
| 0 => 0
| m => m
| n.succ, m => bar n m
-/
#guard_msgs in
#check bar.eq_def
-- Now the same for structural recursion
namespace Structural
def foo : Nat → Nat → Nat
| 0, m => match m with | 0 => 0 | m => m
| n+1, m => foo n m
termination_by structural n => n
/--
info: equations:
theorem Structural.foo.eq_1 : foo 0 0 = 0
theorem Structural.foo.eq_2 : ∀ (x : Nat), (x = 0 → False) → foo 0 x = x
theorem Structural.foo.eq_3 : ∀ (x n : Nat), foo n.succ x = foo n x
-/
#guard_msgs in
#print equations foo
/--
info: Structural.foo.eq_def (x✝ x✝¹ : Nat) :
foo x✝ x✝¹ =
match x✝, x✝¹ with
| 0, m =>
match m with
| 0 => 0
| m => m
| n.succ, m => foo n m
-/
#guard_msgs in
#check foo.eq_def
/-- error: unknown identifier 'foo.eq_4' -/
#guard_msgs in
#check Structural.foo.eq_4
set_option backward.eqns.deepRecursiveSplit false in
def bar : Nat → Nat → Nat
| 0, m => match m with | 0 => 0 | m => m
| n+1, m => bar n m
termination_by n => n
/--
info: equations:
theorem Structural.bar.eq_1 : ∀ (x : Nat),
bar 0 x =
match x with
| 0 => 0
| m => m
theorem Structural.bar.eq_2 : ∀ (x n : Nat), bar n.succ x = bar n x
-/
#guard_msgs in
#print equations bar
/--
info: Structural.bar.eq_def (x✝ x✝¹ : Nat) :
bar x✝ x✝¹ =
match x✝, x✝¹ with
| 0, m =>
match m with
| 0 => 0
| m => m
| n.succ, m => bar n m
-/
#guard_msgs in
#check bar.eq_def
end Structural