lean2/tests/lua/level7.lua

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assert(max_univ("l1", "l2"):is_geq("l1"))
assert(max_univ("l1", "l2"):is_geq(max_univ("l2", "l1")))
print(max_univ("l2", "l1", "l3"))
assert(not max_univ("l1", "l2"):is_geq(max_univ("l2", "l1", "l3")))
assert(not imax_univ("l1", "l2"):is_geq("l1"))
assert(imax_univ("l1", "l2"):is_geq("l2"))
print(imax_univ("l1", succ_univ("l2")))
assert(imax_univ("l1", succ_univ("l2")):is_geq(max_univ("l2", "l1")))
assert(max_univ("l1", succ_univ("l2")):is_geq(max_univ("l2", "l1")))
assert(succ_univ("l1"):is_geq("l1"))
assert(succ_univ(succ_univ("l1")):is_geq("l1"))
assert(max_univ(1, 3):is_geq(3))
assert(max_univ(1, 3):is_geq(2))
assert(not max_univ(1, 3):is_geq(5))
local l1 = param_univ("l1")
local l2 = param_univ("l2")
local g = global_univ("g")
assert((g+1):is_geq(g))
assert((g+2):is_geq(g+1))
assert(not g:is_geq(l1))
assert(not max_univ(l1, l2):is_geq(max_univ(l2, l1+1)))
assert((max_univ(l1, l2) + 1):is_geq(max_univ(l2, l1+1)))
assert(max_univ(l1+2, l2, g+1):is_geq(max_univ(g+1, l1+1, l2)))
assert(not max_univ(l1+2, l2, g+1):is_geq(max_univ(g+2, l1+1, l2)))