lean4-htt/tests/lean/run/partial_fixpoint_explicit.lean
jrr6 62f14514da
refactor: update built-in tactic error messages (#9633)
This PR updates various error messages produced by or associated with
built-in tactics and adapts their formatting to current conventions.
2025-07-31 14:16:57 +00:00

77 lines
1.8 KiB
Text

/-!
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
/-- info: Try this: exact fun x y a x => a (x + 1) -/
#guard_msgs in
def nullary6 (x : Nat) : Option Unit := nullary6 (x + 1)
partial_fixpoint monotonicity by
exact?
#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