local env = bare_environment() env = add_decl(env, mk_constant_assumption("A", Prop)) env = add_decl(env, mk_constant_assumption("T", Type)) env = add_decl(env, mk_definition("B2", Type, Prop, {opaque=false})) env = add_decl(env, mk_constant_assumption("C", Const("B2"))) env = add_decl(env, mk_definition("BB", Type, mk_arrow(Prop, Prop), {opaque=false})) local tc = type_checker(env) assert(tc:is_prop(Const("A"))) assert(tc:is_prop(Const("C"))) assert(not tc:is_prop(Const("T"))) assert(not tc:is_prop(Const("B2"))) print(tc:check(mk_lambda("x", mk_metavar("m", mk_metavar("t", mk_sort(mk_meta_univ("l")))), Var(0)))) print(tc:ensure_sort(Const("B2"))) assert(not pcall(function() print(tc:ensure_sort(Const("A"))) end )) print(tc:ensure_pi(Const("BB"))) assert(not pcall(function() print(tc:ensure_pi(Const("A"))) end )) assert(not pcall(function() env = add_decl(env, mk_constant_assumption("A", mk_local("l1", Prop))) end )) assert(not pcall(function() print(tc:check(Let("x", Type, Const("A"), Var(0)))) end )) assert(not pcall(function() print(tc:check(mk_lambda("x", Prop, Var(0))(Type))) end )) assert(not pcall(function() print(tc:check(Var(0))) end )) assert(tc:check(mk_pi("x", Prop, Var(0))) == Prop) local env = bare_environment({impredicative=false}) local tc = type_checker(env) assert(tc:check(mk_pi("x", Prop, Var(0))) == Type)