From 0eb62047b052cb4fbf842525170dd916679e8b7e Mon Sep 17 00:00:00 2001
From: Son Ho
Date: Mon, 18 Sep 2023 19:56:27 +0200
Subject: Simplify some lemmas and prove that the scalars and Vec are inhabited

---
 backends/lean/Base/Primitives/Scalar.lean | 3 +++
 1 file changed, 3 insertions(+)

(limited to 'backends/lean/Base/Primitives')

diff --git a/backends/lean/Base/Primitives/Scalar.lean b/backends/lean/Base/Primitives/Scalar.lean
index 55227a9f..fecb0d1d 100644
--- a/backends/lean/Base/Primitives/Scalar.lean
+++ b/backends/lean/Base/Primitives/Scalar.lean
@@ -395,6 +395,9 @@ def Scalar.cast {src_ty : ScalarTy} (tgt_ty : ScalarTy) (x : Scalar src_ty) : Re
 @[reducible] def U64   := Scalar .U64
 @[reducible] def U128  := Scalar .U128
 
+instance (ty : ScalarTy) : Inhabited (Scalar ty) := by
+  constructor; cases ty <;> apply (Scalar.ofInt 0)
+
 -- TODO: below: not sure this is the best way.
 -- Should we rather overload operations like +, -, etc.?
 -- Also, it is possible to automate the generation of those definitions
-- 
cgit v1.2.3


From 92887b89e35607e99bae2f19e4c5b2f162683d02 Mon Sep 17 00:00:00 2001
From: Son Ho
Date: Mon, 18 Sep 2023 19:59:19 +0200
Subject: Prove that Vec is inhabited

---
 backends/lean/Base/Primitives/Vec.lean | 4 ++++
 1 file changed, 4 insertions(+)

(limited to 'backends/lean/Base/Primitives')

diff --git a/backends/lean/Base/Primitives/Vec.lean b/backends/lean/Base/Primitives/Vec.lean
index c4c4d9f2..2d48a641 100644
--- a/backends/lean/Base/Primitives/Vec.lean
+++ b/backends/lean/Base/Primitives/Vec.lean
@@ -35,6 +35,10 @@ example {a: Type u} (v : Vec a) : v.length ≤ Scalar.max ScalarTy.Usize := by
 
 def Vec.new (α : Type u): Vec α := ⟨ [], by apply Scalar.cMax_suffices .Usize; simp ⟩
 
+instance (α : Type u) : Inhabited (Vec α) := by
+  constructor
+  apply Vec.new
+
 -- TODO: very annoying that the α is an explicit parameter
 def Vec.len (α : Type u) (v : Vec α) : Usize :=
   Usize.ofIntCore v.val.len (by scalar_tac) (by scalar_tac)
-- 
cgit v1.2.3