67 lines
2 KiB
Text
67 lines
2 KiB
Text
/-
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Copyright (c) 2016 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Leonardo de Moura
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-/
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prelude
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import init.meta.tactic
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meta constant mk_nat_val_ne_proof : expr → expr → option expr
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meta constant mk_nat_val_lt_proof : expr → expr → option expr
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meta constant mk_nat_val_le_proof : expr → expr → option expr
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meta constant mk_fin_val_ne_proof : expr → expr → option expr
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meta constant mk_char_val_ne_proof : expr → expr → option expr
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meta constant mk_string_val_ne_proof : expr → expr → option expr
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meta constant mk_int_val_ne_proof : expr → expr → option expr
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namespace tactic
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open expr
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meta def comp_val : tactic unit :=
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do t ← target,
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guard (is_app t),
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type ← infer_type t^.app_arg,
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(do is_def_eq type (const `nat []),
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(do (a, b) ← is_ne t,
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pr ← mk_nat_val_ne_proof a b,
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exact pr)
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<|>
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(do (a, b) ← is_lt t,
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pr ← mk_nat_val_lt_proof a b,
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exact pr)
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<|>
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(do (a, b) ← is_gt t,
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pr ← mk_nat_val_lt_proof b a,
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exact pr)
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<|>
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(do (a, b) ← is_le t,
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pr ← mk_nat_val_le_proof a b,
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exact pr)
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<|>
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(do (a, b) ← is_ge t,
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pr ← mk_nat_val_le_proof b a,
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exact pr))
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<|>
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(do is_def_eq type (const `char []),
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(a, b) ← is_ne t,
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pr ← mk_char_val_ne_proof a b,
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exact pr)
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<|>
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(do is_def_eq type (const `string []),
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(a, b) ← is_ne t,
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pr ← mk_string_val_ne_proof a b,
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exact pr)
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<|>
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(do is_def_eq type (const `int []),
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(a, b) ← is_ne t,
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pr ← mk_int_val_ne_proof a b,
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exact pr)
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<|>
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(do type ← whnf type,
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guard (is_napp_of type `fin 1),
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(a, b) ← is_ne t,
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pr ← mk_fin_val_ne_proof a b,
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exact pr)
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<|>
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(do (a, b) ← is_eq t,
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unify a b, to_expr ``(eq.refl %%a) >>= exact)
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end tactic
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