lean2/tests/lua/int1.lua

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local env = environment()
local nat = Const("nat")
local int = Const("int")
env = add_inductive(env,
"nat", Type,
"zero", nat,
"succ", mk_arrow(nat, nat))
env = add_inductive(env,
"int", Type,
"pos", mk_arrow(nat, int),
"neg", mk_arrow(nat, int))
function display_type(env, t)
print(tostring(t) .. " : " .. tostring(type_checker(env):check(t)))
end
display_type(env, Const("nat_rec", {0}))
display_type(env, Const("int_rec", {0}))