22 lines
833 B
Lua
22 lines
833 B
Lua
local env = environment()
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env = env:begin_section_scope()
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env = env:add_global_level("l")
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local l = mk_global_univ("l")
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env = env:add(check(env, mk_var_decl("A", mk_sort(l))), binder_info(true))
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env = env:add(check(env, mk_var_decl("B", mk_sort(l))), binder_info(true))
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local A = Const("A")
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local list = Const("list")
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env = add_inductive(env,
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"list", mk_sort(max_univ(l, 1)),
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"nil", list,
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"cons", mk_arrow(A, list, list))
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print(env:find("list_rec"):type())
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assert(env:find("cons"):type() == mk_arrow(A, list, list))
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env = env:end_scope()
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print(env:find("list_rec"):type())
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print(env:find("cons"):type())
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local l = mk_param_univ("l")
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local A = Local("A", mk_sort(l))
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local list = Const("list", {l})
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assert(env:find("cons"):type() == Pi({A}, mk_arrow(A, list(A), list(A))))
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