17 lines
578 B
Lua
17 lines
578 B
Lua
local env = environment()
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local A = Local("A", Type)
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env = add_decl(env, mk_var_decl("eq", Pi(A, mk_arrow(A, A, Prop))))
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local eq = Const("eq")
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local a = Local("a", A)
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local b = Local("b", A)
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local H = Local("H", eq(A, a, b))
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local m = mk_metavar("m", Pi(A, a, b, H, eq(A, a, b)))(A, a, b, H)
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local s = to_proof_state(m, eq(A, a, b))
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local t = Then(Append(trace_tac("tst1a"), trace_tac("tst1b")),
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trace_tac("tst2"),
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Append(trace_tac("tst3"), assumption_tac()))
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for r in t(env, s) do
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print("Solution:")
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print(r)
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print("---------")
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end
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