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lean4/tests/elab/inductionCheckAltNames.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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universe u
axiom elimEx (motive : Nat Nat Sort u) (x y : Nat)
(diag : (a : Nat) motive a a)
(upper : (delta a : Nat) motive a (a + delta.succ))
(lower : (delta a : Nat) motive (a + delta.succ) a)
: motive y x
/--
error: Invalid alternative name `lower2`: Expected `lower`
---
error: unsolved goals
case upper.h
q d : Nat
⊢ q + d.succ > q
---
error: Alternative `lower` has not been provided
-/
#guard_msgs in
theorem invalidAlt (p: Nat) : p q p > q := by
cases p, q using elimEx with
| lower2 /- error -/ d => apply Or.inl; admit
| upper d => apply Or.inr
| diag => apply Or.inl; apply Nat.le_refl
/--
error: Invalid alternative name `lower2`: Expected `lower`
---
error: Alternative `lower` has not been provided
-/
#guard_msgs in
theorem oneMissingAlt (p: Nat) : p q p > q := by
cases p, q using elimEx with
| upper d => apply Or.inl; admit
| diag => apply Or.inl; apply Nat.le_refl
| lower2 /- error -/ => apply Or.inr
/--
error: Duplicate alternative name `upper`
---
error: Alternative `lower` has not been provided
-/
#guard_msgs in
theorem doubleAlt (p: Nat) : p q p > q := by
cases p, q using elimEx with
| upper d => apply Or.inl; admit
| upper d /- error -/ => apply Or.inr
| diag => apply Or.inl; apply Nat.le_refl
/--
error: Invalid occurrence of the wildcard alternative `| _ => ...`: It must be the last alternative
-/
#guard_msgs in
theorem invalidWildCard (p: Nat) : p q p > q := by
cases p, q using elimEx with
| upper d => apply Or.inl; admit
| _ /- error -/ => apply Or.inr
| diag => apply Or.inl; apply Nat.le_refl
/--
error: Invalid alternative name `lower2`: There are no unhandled alternatives
---
error: unsolved goals
case lower.h
p delta✝ : Nat
⊢ p > p + delta✝.succ
-/
#guard_msgs in
theorem noAlt (p: Nat) : p q p > q := by
cases p, q using elimEx with
| upper d => apply Or.inl; admit
| lower => apply Or.inr
| diag => apply Or.inl; apply Nat.le_refl
| lower2 /- error -/ => apply Or.inr