/usr/lib/ats-anairiats-0.2.5/prelude/DATS/vsubrw.dats is in ats-lang-anairiats 0.2.5-0ubuntu1.
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(* *)
(* Applied Type System *)
(* *)
(* Hongwei Xi *)
(* *)
(***********************************************************************)
(*
** ATS - Unleashing the Potential of Types!
**
** Copyright (C) 2002-2008 Hongwei Xi, Boston University
**
** All rights reserved
**
** ATS is free software; you can redistribute it and/or modify it under
** the terms of the GNU LESSER GENERAL PUBLIC LICENSE as published by the
** Free Software Foundation; either version 2.1, or (at your option) any
** later version.
**
** ATS is distributed in the hope that it will be useful, but WITHOUT ANY
** WARRANTY; without even the implied warranty of MERCHANTABILITY or
** FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
** for more details.
**
** You should have received a copy of the GNU General Public License
** along with ATS; see the file COPYING. If not, please write to the
** Free Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
** 02110-1301, USA.
*)
(* ****** ****** *)
(* author: Hongwei Xi (hwxi AT cs DOT bu DOT edu) *)
(* ****** ****** *)
//
// HX: some proof functions involving view containment.
//
(* ****** ****** *)
staload "prelude/SATS/vsubrw.sats"
(* ****** ****** *)
assume vsubr_p
(v1:view, v2:view) = v2 -<prf> [v:view] @(v1, v)
assume vsubw_p
(v1:view, v2:view) = v2 -<prf> (v1, v1 -<lin,prf> v2)
(* ****** ****** *)
implement vsubr_intr (fpf) = fpf
implement vsubr_elim (fpf) = fpf
implement
vsubr_refl {v} () = lam (pf) => @(pf, unit_v ())
implement
vsubr_trans (fpf21, fpf32) = lam (pf3) => let
val (pf2, pf32) = fpf32 (pf3); prval (pf1, pf21) = fpf21 (pf2);
in
(pf1, @(pf21, pf32))
end // end of [vcontain_trans]
(* ****** ****** *)
implement vsubr_of_vsubw (fpf) = lam (pf) => fpf (pf)
(* ****** ****** *)
implement
vsubr_tup_2_0 {v1,v2} () = vsubr_of_vsubw (vsubw_tup_2_0 {v1,v2} ())
implement
vsubr_tup_2_1 {v1,v2} () = vsubr_of_vsubw (vsubw_tup_2_1 {v1,v2} ())
(* ****** ****** *)
implement vsubw_intr (fpf) = fpf
implement vsubw_elim (fpf) = fpf
(* ****** ****** *)
implement
vsubw_tup_2_0 () = lam (pf) => @(pf.0, llam pf0 => (pf0, pf.1))
implement
vsubw_tup_2_1 () = lam (pf) => @(pf.1, llam pf1 => (pf.0, pf1))
(* ****** ****** *)
implement
vsubw_array_elt {a} (pf_mul) =
lam pf_arr =<prf> array_v_takeout {a} (pf_mul, pf_arr)
// end of [vsubw_array_elt]
(* ****** ****** *)
implement
vsubw_array_subarray
{a} {n0,i,n} (pf_mul) =
lam pf_arr =<prf> let
prval (pf1_arr, pf2_arr) = array_v_split {a} {n0} {i} (pf_mul, pf_arr)
prval pf2_mul = mul_istot {n, sizeof a} ()
prval (pf21_arr, pf22_arr) = array_v_split {a} {n0-i} {n} (pf2_mul, pf2_arr)
in (
pf21_arr
, llam pf21_arr => array_v_unsplit {a} (
pf_mul, pf1_arr, array_v_unsplit {a} (pf2_mul, pf21_arr, pf22_arr)
) // end of [llam]
) end // end of [lam] // end of [vsubw_array_subarray]
(* ****** ****** *)
(* end of [vsubrw.dats] *)
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