lean4-htt/tests/elabissues/issues4.lean
2019-10-03 17:23:53 -07:00

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-- From @joehendrix
-- The imul doesn't type check as Lean won't try to coerce from a reg (bv 64) to a expr (bv ?u)
inductive MCType
| bv : Nat → MCType
open MCType
inductive Reg : MCType → Type
| rax : Reg (bv 64)
inductive Expr : MCType → Type
| r : ∀{tp:MCType}, Reg tp → Expr tp
| sextC {s:Nat} (x : Expr (bv s)) (t:Nat) : Expr (bv t)
instance reg_is_expr {tp:MCType} : HasCoe (Reg tp) (Expr tp) := ⟨Expr.r⟩
def bvmul {w:Nat} (x y : Expr (bv w)) : Expr (bv w) := x
def sext {s:Nat} (x : Expr (bv s)) (t:Nat) : Expr (bv t) := Expr.sextC x t
def imul {u:Nat} (e:Expr (bv 64)) : Expr (bv 128) :=
bvmul (sext Reg.rax 128) (sext e _)