a062eea204
This PR adds support for beta reduction in the `grind` tactic. `grind` can now solve goals such as ```lean example (f : Nat → Nat) : f = (fun x : Nat => x + 5) → f 2 > 5 := by grind ```
44 lines
1.2 KiB
Text
44 lines
1.2 KiB
Text
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
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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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/--
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info: [Meta.debug] [d, f b, c, f a]
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-/
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#guard_msgs (info) 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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/--
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info: [Meta.debug] [d, f b, c, f a]
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-/
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#guard_msgs (info) 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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/--
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info: [Meta.debug] [d, f (g b), c, f (g a)]
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-/
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#guard_msgs (info) 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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/--
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info: [Meta.debug] [d, f (g b), c, f v]
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-/
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#guard_msgs (info) 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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