lean2/tests/lua/ind_ex.lua
Leonardo de Moura 5eaf04518b refactor(*): rename Bool to Prop
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-22 09:43:18 -07:00

16 lines
508 B
Lua

local env = environment()
local l = param_univ("l")
local U_l = mk_sort(l)
local inhabited = Const("inhabited", {l})
local A = Local("A", U_l)
local a = Local("a", A)
env = add_inductive(env,
"inhabited", {l}, 1, mk_arrow(U_l, Prop),
"inhabited_intro", Pi(A, a, inhabited(A)))
function display_type(env, t)
print(tostring(t) .. " : " .. tostring(type_checker(env):check(t)))
end
display_type(env, Const("inhabited_rec", {1}))