lean2/tests/lua/goal1.lua

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local env = environment()
local A = Local("A", Type)
env = add_decl(env, mk_var_decl("eq", Pi(A, mk_arrow(A, A, Bool))))
local eq = Const("eq")
local a = Local("a", A)
local b = Local("b", A)
local H = Local("H", eq(A, a, b))
local t = eq(A, b, a)
local m = mk_metavar("m", Pi(A, a, b, H, t))(A, a, b, H)
print(m)
print(env:type_check(m))
local g = goal(m, t)
assert(g:validate(env))
local m1 = g:mk_meta("m1", Bool)
print(tostring(m1))
print(env:type_check(m1))