test(tests/lean/run/unfold_crash): add Jared's repro

This commit is contained in:
Leonardo de Moura 2016-07-18 20:00:30 -04:00
parent 16ab639f56
commit ff712dd78d

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import data.nat
open tactic
inductive vector (A : Type) : nat → Type :=
| nil {} : vector A 0
| cons : Π {n}, A -> vector A n -> vector A (nat.succ n)
definition vmap {A B : Type} (f : A -> B) : Π {n}, vector A n -> vector B n
| vmap vector.nil := vector.nil
| vmap (vector.cons x xs) := vector.cons (f x) (vmap xs)
definition vappend {A} : Π {n m}, vector A n -> vector A m -> vector A (m + n)
| vappend vector.nil vector.nil := vector.nil
| vappend vector.nil (vector.cons x xs) := vector.cons x xs
| vappend (vector.cons x xs) vector.nil := vector.cons x (vappend xs vector.nil)
| vappend (vector.cons x xs) (vector.cons y ys) := vector.cons x (vappend xs (vector.cons y ys))
axiom Sorry : ∀ A, A
theorem vappend_assoc :
Π {A : Type} {n m k : nat} (v1 : vector A n) (v2 : vector A m) (v3 : vector A k),
vappend (vappend v1 v2) v3 == vappend v1 (vappend v2 v3) :=
by do
intros,
v <- get_local "v1",
induction_core semireducible v ("vector" <.> "rec_on") [],
v2 ← get_local "v2",
cases_using v2 ["m", "h2", "t2"],
trace_state, trace "------",
-- unfold only the first occurrence (i.e., the one of the form (vappend nil nil)
unfold_occs_of [1] "vappend",
trace_state, trace "------",
mk_const "Sorry" >>= apply,
-- unfold only the first occurrence (i.e., the one of the form (vappend nil (cons ...))
unfold_occs_of [1] "vappend",
trace_state, trace "------",
repeat $ mk_const "Sorry" >>= apply