lean4-htt/tests/lean/run/injective.lean
Kim Morrison 3a457e6ad6
chore: use #guard_msgs in run tests (#4175)
Many of our tests in `tests/lean/run/` produce output from `#eval` (or
`#check`) statements, that is then ignored.

This PR tries to capture all the useful output using `#guard_msgs`. I've
only done a cursory check that the output is still sane --- there is a
chance that some "unchecked" tests have already accumulated regressions
and this just cements them!

In the other direction, I did identify two rotten tests:
* a minor one in `setStructInstNotation.lean`, where a comment says `Set
Nat`, but `#check` actually prints `?_`. Weird?
* `CompilerProbe.lean` is generating empty output, apparently indicating
that something is broken, but I don't know the signficance of this file.

In any case, I'll ask about these elsewhere.

(This started by noticing that a recent `grind` test file had an
untested `trace_state`, and then got carried away.)
2024-05-16 00:38:31 +00:00

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universe u v
structure InjectiveFunction (α : Type u) (β : Type v) where
fn : α → β
inj : ∀ a b, fn a = fn b → a = b
def add1 : InjectiveFunction Nat Nat where
fn a := a + 1
inj a b h := by injection h
instance : CoeFun (InjectiveFunction α β) (fun _ => α → β) where
coe s := s.fn
#guard add1 10 == 11
def mapAdd1 (xs : List Nat) : List Nat :=
xs.map add1
#guard mapAdd1 [1, 2] = [2, 3]
def foo : InjectiveFunction Bool (Nat → Nat) where
fn
| true, a => a + 1
| false, a => a
inj a b h := by
cases a
cases b; rfl; injection (congrFun h 0)
cases b; injection (congrFun h 0); rfl
theorem ex1 (x : Nat) : foo true x = x + 1 :=
rfl
theorem ex2 (x : Nat) : foo false x = x :=
rfl
#guard foo true 10 == 11
#guard foo false 20 == 20
#guard [1, 2, 3].map (foo true) = [2, 3, 4]