lean2/tests/lean/run/uni.lean

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import logic
inductive nat : Type :=
zero : nat,
succ : nat → nat
check @nat_rec
(*
local env = get_env()
local nat_rec = Const("nat_rec", {1})
local nat = Const("nat")
local n = Local("n", nat)
local C = Fun(n, Prop)
local p = Local("p", Prop)
local ff = Const("false")
local tt = Const("true")
local t = nat_rec(C, ff, Fun(n, p, tt))
local zero = Const("zero")
local succ = Const("succ")
local one = succ(zero)
local tc = type_checker(env)
print(env:whnf(t(one)))
print(env:whnf(t(zero)))
local m = mk_metavar("m", nat)
print(env:whnf(t(m)))
function test_unify(env, lhs, rhs, num_s)
print(tostring(lhs) .. " =?= " .. tostring(rhs) .. ", expected: " .. tostring(num_s))
local ss = unify(env, lhs, rhs, name_generator(), true, substitution(), options())
local n = 0
for s in ss do
print("solution: ")
s:for_each_expr(function(n, v, j)
print(" " .. tostring(n) .. " := " .. tostring(v))
end)
s:for_each_level(function(n, v, j)
print(" " .. tostring(n) .. " := " .. tostring(v))
end)
n = n + 1
end
if num_s ~= n then print("n: " .. n) end
assert(num_s == n)
end
test_unify(env, t(m), tt, 1)
test_unify(env, t(m), ff, 1)
*)