lean4-htt/tests/lean/run/grind_eq_bwd.lean
Leonardo de Moura 66471ba6e2
feat: attributes [grind =>] and [grind <=] (#6897)
This PR adds the new attributes `[grind =>]` and `[grind <=]` for
controlling pattern selection and minimizing the number of places where
we have to use verbose `grind_pattern` command. It also fixes a bug in
the new pattern selection procedure, and improves the automatic pattern
selection for local lemmas.

The tests `grind_constProp.lean` and `no_grind_constProp.lean` are the
same use case with and without `grind`.
2025-02-01 04:41:19 +00:00

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theorem dummy (x : Nat) : x = x :=
rfl
/--
error: invalid pattern for `dummy`
[@Lean.Grind.eqBwdPattern `[Nat] #0 #0]
the pattern does not contain constant symbols for indexing
-/
#guard_msgs in
attribute [grind ←=] dummy
def α : Type := sorry
def inv : αα := sorry
def mul : ααα := sorry
def one : α := sorry
theorem inv_eq {a b : α} (w : mul a b = one) : inv a = b := sorry
/--
info: [grind.ematch.pattern] inv_eq: [@Lean.Grind.eqBwdPattern `[α] (inv #2) #1]
-/
#guard_msgs in
set_option trace.grind.ematch.pattern true in
attribute [grind ←=] inv_eq
example {a b : α} (w : mul a b = one) : inv a = b := by
grind
example {a b : α} (w : mul a b = one) : inv a = b := by
grind only [<-= inv_eq]
structure S where
f : Bool → α
h : mul (f true) (f false) = one
h' : mul (f false) (f true) = one
attribute [grind =] S.h S.h'
example (s : S) : inv (s.f true) = s.f false := by
grind
example (s : S) : inv (s.f true) = s.f false := by
grind only [<-= inv_eq, = S.h]
example (s : S) : s.f false = inv (s.f true) := by
grind
example (s : S) : a = false → s.f a = inv (s.f true) := by
grind
example (s : S) : a ≠ s.f false → a = inv (s.f true) → False := by
grind
/--
info: [grind.ematch.instance] inv_eq: mul (s.f true) (s.f false) = one → inv (s.f true) = s.f false
[grind.ematch.instance] S.h: mul (s.f true) (s.f false) = one
-/
#guard_msgs (info) in
set_option trace.grind.ematch.instance true in
example (s : S) : inv (s.f true) = s.f false := by
grind