67 lines
2.7 KiB
Lua
67 lines
2.7 KiB
Lua
local b = mk_constant_assumption("bit", Type)
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local l1 = mk_param_univ("l1")
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local l2 = mk_param_univ("l2")
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local p = mk_constant_assumption("tst", {"l1", "l2"}, mk_arrow(mk_sort(l1), mk_sort(l2)))
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assert(p:is_constant_assumption())
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assert(not p:is_axiom())
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assert(p:name() == name("tst"))
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print(mk_arrow(mk_sort(l1), mk_sort(l2)))
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assert(p:type() == mk_arrow(mk_sort(l1), mk_sort(l2)))
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assert(#(p:univ_params()) == 2)
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assert(p:univ_params():head() == name("l1"))
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assert(p:univ_params():tail():head() == name("l2"))
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local ax = mk_axiom("ax", {"l1", "l2"}, mk_arrow(mk_sort(l1), mk_sort(l2)))
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assert(ax:is_constant_assumption())
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assert(ax:is_axiom())
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assert(ax:name() == name("ax"))
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assert(not pcall(function() print(ax:value()) end))
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local th = mk_theorem("t1", {"l1", "l2"}, mk_arrow(mk_sort(l1), mk_sort(l2)), mk_lambda("x", mk_sort(l1), Var(0)))
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assert(th:is_theorem())
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assert(th:is_definition())
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assert(th:value() == mk_lambda("x", mk_sort(l1), Var(0)))
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print(th:value())
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local A = Const("A")
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local B = Const("B")
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local th2 = mk_theorem("t2", A, B)
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assert(th2:type() == A)
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assert(th2:value() == B)
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assert(th2:name() == name("t2"))
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local d = mk_definition("d1", A, B)
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assert(d:is_definition())
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assert(not d:is_theorem())
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assert(d:weight() == 0)
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assert(d:use_conv_opt())
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assert(d:name() == name("d1"))
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assert(d:value() == B)
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local d2 = mk_definition("d2", A, B, nil)
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local d3 = mk_definition("d3", A, B, {weight=100, use_conv_opt=false})
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assert(d3:weight() == 100)
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assert(not d3:use_conv_opt())
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local env = bare_environment()
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local d4 = mk_definition(env, "bool", Type, Prop)
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assert(d4:weight() == 1)
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local d5 = mk_definition(env, "bool", Type, Prop, {weight=100, use_conv_opt=true})
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assert(d5:weight() == 1)
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assert(d5:use_conv_opt())
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local d6 = mk_definition("d6", {"l1", "l2"}, A, B, {weight=5})
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assert(d6:type() == A)
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assert(d6:value() == B)
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assert(#(d6:univ_params()) == 2)
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assert(d6:univ_params():head() == name("l1"))
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assert(d6:univ_params():tail():head() == name("l2"))
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assert(d6:weight() == 5)
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local d7 = mk_definition(env, "d7", {"l1", "l2"}, A, B, {weight=5})
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assert(d7:type() == A)
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assert(d7:value() == B)
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assert(d7:weight() == 1)
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assert(#(d7:univ_params()) == 2)
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assert(d7:univ_params():head() == name("l1"))
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assert(d7:univ_params():tail():head() == name("l2"))
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print("done")
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assert(not pcall(function() mk_theorem("t1", {max_univ("l1", "l2")}, mk_arrow(mk_sort(l1), mk_sort(l2)), mk_lambda("x", mk_sort(l1), Var(0))) end))
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local l1 = global_univ("l1")
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mk_theorem("t1", {l1, "l2"}, mk_arrow(mk_sort(l1), mk_sort(l2)), mk_lambda("x", mk_sort(l1), Var(0)))
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assert(not pcall(function() mk_definition("bit", Type) end))
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local env = environment(10)
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assert(not pcall(function() mk_definition(env, "bit", Type) end))
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