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