lean4-htt/tests/lean/run/grind_congr.lean
Kim Morrison eccc472e8d
chore: remove set_option grind.warning false (#8714)
This PR removes the now unnecessary `set_option grind.warning false`
statements, now that the warning is disabled by default.
2025-06-11 05:09:19 +00:00

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import Lean
def f (a : Nat) := a + a + a
def g (a : Nat) := a + a
-- Prints the equivalence class containing a `f` application
open Lean Meta Grind in
def fallback : Fallback := do
let #[n, _] ← filterENodes fun e => return e.self.isApp && e.self.isAppOf ``f | unreachable!
let eqc ← getEqc n.self (sort := true)
trace[Meta.debug] eqc
(← get).mvarId.admit
set_option trace.Meta.debug true
set_option grind.debug true
set_option grind.debug.proofs true
/-- trace: [Meta.debug] [c, d, f a, f b] -/
#guard_msgs (trace) in
example (a b c d : Nat) : a = b → f a = c → f b = d → False := by
grind on_failure fallback
/-- trace: [Meta.debug] [c, d, f a, f b] -/
#guard_msgs (trace) in
example (a b c d : Nat) : f a = c → f b = d → a = b → False := by
grind on_failure fallback
/-- trace: [Meta.debug] [c, d, f (g a), f (g b)] -/
#guard_msgs (trace) in
example (a b c d e : Nat) : f (g a) = c → f (g b) = d → a = e → b = e → False := by
grind on_failure fallback
/-- trace: [Meta.debug] [c, d, f v, f (g b)] -/
#guard_msgs (trace) in
example (a b c d e v : Nat) : f v = c → f (g b) = d → a = e → b = e → v = g a → False := by
grind on_failure fallback
-- arrow congruence test
example : α = α' → α'' = α' → β' = β → (α → β) = (α'' → β') := by
grind
example (a b c : Nat) (h₁ : a = c) (h₂ : b = c) : (a = b → Nat) = (b = a → Nat) := by
grind