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-rw-r--r--backends/lean/Base/Primitives/Vec.lean13
1 files changed, 9 insertions, 4 deletions
diff --git a/backends/lean/Base/Primitives/Vec.lean b/backends/lean/Base/Primitives/Vec.lean
index 523372bb..a09d6ac2 100644
--- a/backends/lean/Base/Primitives/Vec.lean
+++ b/backends/lean/Base/Primitives/Vec.lean
@@ -85,14 +85,19 @@ def Vec.index (α : Type u) (v: Vec α) (i: Usize) : Result α :=
| none => fail .arrayOutOfBounds
| some x => ret x
+/- In the theorems below: we don't always need the `∃ ..`, but we use one
+ so that `progress` introduces an opaque variable and an equality. This
+ helps control the context.
+ -/
+
@[pspec]
theorem Vec.index_spec {α : Type u} [Inhabited α] (v: Vec α) (i: Usize)
(hbound : i.val < v.length) :
- v.index α i = ret (v.val.index i.val) := by
+ ∃ x, v.index α i = ret x ∧ x = v.val.index i.val := by
simp only [index]
-- TODO: dependent rewrite
have h := List.indexOpt_eq_index v.val i.val (by scalar_tac) (by simp [*])
- simp only [*]
+ simp [*]
-- This shouldn't be used
def Vec.index_back (α : Type u) (v: Vec α) (i: Usize) (_: α) : Result Unit :=
@@ -109,11 +114,11 @@ def Vec.index_mut (α : Type u) (v: Vec α) (i: Usize) : Result α :=
@[pspec]
theorem Vec.index_mut_spec {α : Type u} [Inhabited α] (v: Vec α) (i: Usize)
(hbound : i.val < v.length) :
- v.index_mut α i = ret (v.val.index i.val) := by
+ ∃ x, v.index_mut α i = ret x ∧ x = v.val.index i.val := by
simp only [index_mut]
-- TODO: dependent rewrite
have h := List.indexOpt_eq_index v.val i.val (by scalar_tac) (by simp [*])
- simp only [*]
+ simp [*]
instance {α : Type u} (p : Vec α → Prop) : Arith.HasIntProp (Subtype p) where
prop_ty := λ x => p x