lean4-htt/tests/lean/run/grind_nested_proofs.lean
Leonardo de Moura f57745e9d4
feat: improve grind failure message (#6633)
This PR improves the failure message produced by the `grind` tactic. We
now include information about asserted facts, propositions that are
known to be true and false, and equivalence classes.
2025-01-14 01:10:47 +00:00

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import Lean.Meta.Tactic.Grind
def f (α : Type) [Add α] (a : α) := a + a + a
open Lean Meta Grind in
def fallback : Fallback := do
let nodes ← filterENodes fun e => return e.self.isAppOf ``Lean.Grind.nestedProof
trace[Meta.debug] "{nodes.toList.map (·.self)}"
let nodes ← filterENodes fun e => return e.self.isAppOf ``GetElem.getElem
let [_, n, _] := nodes.toList | unreachable!
trace[Meta.debug] "{← getEqc n.self}"
(← get).mvarId.admit
set_option trace.Meta.debug true
set_option grind.debug true
set_option grind.debug.proofs true
/-
Recall that array access terms, such as `a[i]`, have nested proofs.
The following test relies on `grind` `nestedProof` wrapper to
detect equalities between array access terms.
-/
/--
info: [Meta.debug] [Lean.Grind.nestedProof (i < a.toList.length),
Lean.Grind.nestedProof (j < a.toList.length),
Lean.Grind.nestedProof (j < b.toList.length)]
[Meta.debug] [a[i], b[j], a[j]]
-/
#guard_msgs (info) in
example (i j : Nat) (a b : Array Nat) (h1 : j < a.size) (h : j < b.size) (h2 : i ≤ j) : a[i] < a[j] + b[j] → i = j → a = b → False := by
grind on_failure fallback
/--
info: [Meta.debug] [Lean.Grind.nestedProof (i < a.toList.length),
Lean.Grind.nestedProof (j < a.toList.length),
Lean.Grind.nestedProof (j < b.toList.length)]
[Meta.debug] [a[i], a[j]]
-/
#guard_msgs (info) in
example (i j : Nat) (a b : Array Nat) (h1 : j < a.size) (h : j < b.size) (h2 : i ≤ j) : a[i] < a[j] + b[j] → i = j → False := by
grind on_failure fallback