lean4-htt/tests/elab/partial_fixpoint_explicit.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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/-!
Tests for `partial_fixpoint` with explicit proofs
-/
/-- warning: declaration uses `sorry` -/
#guard_msgs in
def nullary (x : Nat) : Option Unit := nullary (x + 1)
partial_fixpoint monotonicity sorry
-- Check for metavariables
set_option pp.mvars.anonymous false in
/--
error: don't know how to synthesize placeholder for argument `a`
context:
⊢ Lean.Order.monotone fun f x => f (x + 1)
-/
#guard_msgs in
def nullarya (x : Nat) : Option Unit := nullarya (x + 1)
partial_fixpoint monotonicity id _
def nullaryb (x : Nat) : Option Unit := nullaryb (x + 1)
partial_fixpoint monotonicity fun _ _ a _ => a _
/-- info: nullaryb.eq_1 (x : Nat) : nullaryb x = nullaryb (x + 1) -/
#guard_msgs in #check nullaryb.eq_1
-- Type error
/--
error: Type mismatch
()
has type
Unit
of sort `Type` but is expected to have type
Lean.Order.monotone fun f x => f (x + 1)
of sort `Prop`
-/
#guard_msgs in
def nullary2 (x : Nat) : Option Unit := nullary2 (x + 1)
partial_fixpoint monotonicity ()
-- Good indent (bad indents are tested in partial_fixpoint_parseerrors
def nullary4 (x : Nat) : Option Unit := nullary4 (x + 1)
partial_fixpoint monotonicity
fun _ _ a x => a (x + 1)
-- Tactics
#guard_msgs in
def nullary6 (x : Nat) : Option Unit := nullary6 (x + 1)
partial_fixpoint monotonicity by
solve_by_elim
#guard_msgs in
def nullary7 (x : Nat) : Option Unit := nullary7 (x + 1)
partial_fixpoint monotonicity by
apply Lean.Order.monotone_of_monotone_apply
intro y
apply Lean.Order.monotone_apply
apply Lean.Order.monotone_id
-- Mutual
mutual
def mutual1 (x : Nat) : Option Unit := mutual2 (x + 1)
partial_fixpoint monotonicity fun _ _ a x => a.2 (x + 1)
def mutual2 (x : Nat) : Option Unit := mutual1 (x + 1)
partial_fixpoint monotonicity fun _ _ a x => a.1 (x + 1)
end