39 lines
1.4 KiB
Lua
39 lines
1.4 KiB
Lua
local env = environment()
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env = env:begin_section_scope()
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local nat = Const("nat")
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env = add_inductive(env,
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"nat", Type,
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"zero", nat,
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"succ", mk_arrow(nat, nat))
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local zero = Const("zero")
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local succ = Const("succ")
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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 vector = Const("vector")
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local n = Local("n", nat)
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env = add_inductive(env,
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"vector", mk_arrow(nat, mk_sort(max_univ(l, 1))),
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"nil", vector(zero),
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"cons", Pi(n, mk_arrow(A, vector(n), vector(succ(n)))))
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print(env:find("vector_rec"):type())
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assert(env:find("cons"):type() == Pi(n, mk_arrow(A, vector(n), vector(succ(n)))))
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env = env:end_scope()
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print(env:find("vector_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 vector = Const("vector", {l})
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assert(env:find("cons"):type() == Pi({A, n}, mk_arrow(A, vector(A, n), vector(A, succ(n)))))
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env = env:end_scope()
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print(env:find("vector_rec"):type())
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print(env:find("cons"):type())
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env:export("sect8_mod.olean")
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local env2 = import_modules("sect8_mod")
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assert(env:find("vector_rec"):type() == env2:find("vector_rec"):type())
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