14 lines
735 B
Lua
14 lines
735 B
Lua
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local env = environment()
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local l = param_univ("l")
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env = add_decl(env, mk_var_decl("group", {l}, mk_sort(l+1)))
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env = add_decl(env, mk_var_decl("abelian_group", {l}, mk_sort(l+1)))
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local group = Const("group", {l})
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local ab_group = Const("abelian_group", {l})
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env = add_decl(env, mk_var_decl("carrier", {l}, mk_arrow(group, mk_sort(l))))
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env = add_coercion(env, "carrier")
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env = add_decl(env, mk_var_decl("abg2g", {l}, mk_arrow(ab_group, group)))
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env = add_coercion(env, "abg2g")
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for_each_coercion_sort(env, function(C, f) print(tostring(C) .. " >-> sort : " .. tostring(f)) end)
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print(get_coercion_to_sort(env, Const("abelian_group", {1})))
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assert(env:type_check(get_coercion_to_sort(env, Const("abelian_group", {1}))))
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