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; Milawa - A Reflective Theorem Prover
; Copyright (C) 2005-2009 Kookamara LLC
;
; Contact:
;
; Kookamara LLC
; 11410 Windermere Meadows
; Austin, TX 78759, USA
; http://www.kookamara.com/
;
; License: (An MIT/X11-style license)
;
; Permission is hereby granted, free of charge, to any person obtaining a
; copy of this software and associated documentation files (the "Software"),
; to deal in the Software without restriction, including without limitation
; the rights to use, copy, modify, merge, publish, distribute, sublicense,
; and/or sell copies of the Software, and to permit persons to whom the
; Software is furnished to do so, subject to the following conditions:
;
; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
;
; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
; DEALINGS IN THE SOFTWARE.
;
; Original author: Jared Davis <jared@kookamara.com>
(in-package "MILAWA")
(include-book "skeletonp")
(%interactive)
(defthmd crock1-for-tactic.split-first-compile
;; BOZO unlocalize/rename
(implies (and (equal (logic.disjoin-each-formula-list (logic.term-list-list-formulas goals))
(logic.strip-conclusions proofs))
(equal (firstn n goals) y))
(equal (logic.strip-conclusions (firstn n proofs))
(logic.disjoin-each-formula-list (logic.term-list-list-formulas y))))
:hints(("Goal"
:in-theory (disable firstn-of-logic.disjoin-each-formula-list)
:use ((:instance firstn-of-logic.disjoin-each-formula-list
(x (logic.term-list-list-formulas goals))
(y n))))))
(defthm crock2-for-tactic.split-first-compile
;; BOZO unlocalize/rename
(implies (and (equal (logic.disjoin-each-formula-list (logic.term-list-list-formulas goals))
(logic.strip-conclusions proofs))
(equal (restn n goals) y))
(equal (logic.strip-conclusions (restn n proofs))
(logic.disjoin-each-formula-list (logic.term-list-list-formulas y))))
:hints(("Goal"
:in-theory (disable restn-of-logic.disjoin-each-formula-list)
:use ((:instance restn-of-logic.disjoin-each-formula-list
(x (logic.term-list-list-formulas goals))
(y n))))))
(%autoadmit tactic.split-first-okp)
(%autoprove booleanp-of-tactic.split-first-okp
(%enable default tactic.split-first-okp))
(%autoadmit tactic.split-first-tac)
(%autoprove forcing-tactic.skeletonp-of-tactic.split-first-tac
(%enable default tactic.split-first-tac))
(%autoprove forcing-tactic.split-first-okp-of-tactic.split-first-tac
(%enable default tactic.split-first-tac tactic.split-first-okp))
(%autoadmit tactic.split-first-compile)
(encapsulate
()
(local (%enable default
tactic.split-first-okp
tactic.split-first-compile))
(%autoprove crock1-for-tactic.split-first-compile
(%disable default
firstn-of-logic.disjoin-each-formula-list
[outside]firstn-of-logic.disjoin-each-formula-list)
(%use (%instance (%thm firstn-of-logic.disjoin-each-formula-list)
(x (logic.term-list-list-formulas goals))
(y n))))
(%autoprove crock2-for-tactic.split-first-compile
(%disable default
restn-of-logic.disjoin-each-formula-list
[outside]restn-of-logic.disjoin-each-formula-list)
(%use (%instance (%thm restn-of-logic.disjoin-each-formula-list)
(x (logic.term-list-list-formulas goals))
(y n))))
(local (%enable default
crock1-for-tactic.split-first-compile
crock2-for-tactic.split-first-compile))
(%autoprove forcing-logic.appeal-listp-of-tactic.split-first-compile)
(%autoprove forcing-logic.strip-conclusions-of-tactic.split-first-compile)
(%autoprove forcing-logic.proof-listp-of-tactic.split-first-compile))
(%ensure-exactly-these-rules-are-missing "../../tactics/split-first")
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