lean4-htt/tests/lean/run/partial_fixpoint_explicit.lean
Kim Morrison 8b103f33cf
feat: remove solve_by_elim first pass from exact?/apply? (#11466)
This PR removes the "first pass" behavior where `exact?` and `apply?`
would try `solve_by_elim` on the original goal before doing library
search. This simplifies the `librarySearch` API and focuses these
tactics on their primary purpose: finding library lemmas.

Users who want to find proofs using local hypotheses should use `try?`
instead, which now includes `solve_by_elim` in its pipeline (see
https://github.com/leanprover/lean4/pull/11462).

Changes:
- Removed first pass from `librarySearch`
- Simplified `tactic` parameter from `Bool → List MVarId → MetaM (List
MVarId)` to `List MVarId → MetaM (List MVarId)`
- Updated test expectations

🤖 Prepared with Claude Code

---------

Co-authored-by: Claude <noreply@anthropic.com>
2025-12-02 02:05:27 +00:00

76 lines
1.7 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
#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