37 lines
1.4 KiB
Lua
37 lines
1.4 KiB
Lua
local A = Const("A")
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local B = Const("B")
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local env = environment()
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local env1 = add_decl(env, mk_var_decl("A", Prop))
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env1 = add_decl(env1, mk_var_decl("B", Prop))
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env1 = add_decl(env1, mk_axiom("H", B))
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local c1 = check(env1, mk_axiom("H1", A))
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local c2 = check(env1, mk_axiom("H2", A))
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local env1b = env1:add(c1)
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local env2 = env1b:add(c2)
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local c3 = check(env2, mk_theorem("H3", A, Const("H1")))
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function expected_error(f)
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ok, ex = pcall(f)
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assert(not ok)
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print("expected error: " .. ex:what())
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end
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expected_error(function() env1:add(c3) end)
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expected_error(function() env2:add(c1) end)
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env3 = env2:add_universe("u")
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expected_error(function() env3:add_universe("u") end)
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expected_error(function() check(env2, mk_theorem("H1", A, Const("H1"))) end)
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local c4 = check(env1b, mk_theorem("H2", A, Const("H1")))
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expected_error(function() env3:add(c4) end)
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env3 = env3:replace(c4)
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assert(env2:find("H2"):is_axiom())
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assert(not env3:find("H2"):is_axiom())
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assert(env3:find("H2"):is_theorem())
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local c5 = check(env1b, mk_theorem("H5", A, Const("H1")))
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expected_error(function() env3:replace(c5) end)
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local c6 = check(env, mk_definition("A", Type, Prop))
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expected_error(function() env3:replace(c6) end)
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local c7 = check(env1b, mk_definition("H2", A, Const("H1")))
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expected_error(function() env2:replace(c7) end)
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local c8 = check(env1b, mk_theorem("H2", B, Const("H")))
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expected_error(function() env2:replace(c8) end)
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