21 lines
629 B
Lua
21 lines
629 B
Lua
function init(env)
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env = add_decl(env, mk_var_decl("A", Prop))
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env = add_decl(env, mk_var_decl("And", mk_arrow(Prop, mk_arrow(Prop, Prop))))
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env = add_decl(env, mk_axiom("p", Const("A")))
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env = add_decl(env, mk_axiom("q", Const("A")))
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return env
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end
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local And = Const("And")
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local p = Const("p")
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local q = Const("q")
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local env = init(bare_environment())
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local t = type_checker(env)
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assert(t:is_def_eq(p, q))
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assert(t:is_def_eq(And(p, q), And(q, p)))
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env = init(bare_environment({prop_proof_irrel=false}))
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t = type_checker(env)
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assert(not t:is_def_eq(p, q))
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assert(not t:is_def_eq(And(p, q), And(q, p)))
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