16 lines
469 B
Lua
16 lines
469 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 t = eq(A, b, a)
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local m = mk_metavar("m", Pi(A, a, b, H, t))(A, a, b, H)
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print(m)
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print(env:type_check(m))
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local g = goal(m, t)
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assert(g:validate(env))
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local m1 = g:mk_meta("m1", Prop)
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print(tostring(m1))
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print(env:type_check(m1))
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