lean4-htt/tests/elab/4413.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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set_option pp.mvars false
structure Note where
pitch : UInt64
start : Nat
def Note.containsNote (n1 n2 : Note) : Prop :=
n1.start ≤ n2.start
def Note.lowerSemitone (n : Note) : Note :=
{ n with pitch := n.pitch - 1 }
theorem Note.self_containsNote_lowerSemitone_self (n : Note) :
n.containsNote (Note.lowerSemitone n) := by
simp [Note.containsNote, Note.lowerSemitone]
/--
error: Type mismatch
rfl
has type
?_ = ?_
but is expected to have type
n = n - 1
-/
#guard_msgs in
set_option maxRecDepth 100 in
set_option maxHeartbeats 200 in
example (n : UInt64) : n = n - 1 :=
rfl
namespace Ex2
def lowerSemitone := fun (n : Note) => Note.mk (n.1 - 0) n.2
set_option maxRecDepth 100 in
theorem Note.self_containsNote_lowerSemitone_self (n : Note) :
0 ≤ (lowerSemitone n).start :=
(Nat.zero_le (Note.start n))
end Ex2
namespace Ex3
def lowerSemitone := fun (n : Note) => Note.mk (n.1 + 100) n.2
set_option maxRecDepth 200 in
theorem Note.self_containsNote_lowerSemitone_self (n : Note) :
0 ≤ (lowerSemitone n).start :=
(Nat.zero_le (Note.start n))
end Ex3