src/HOL/Nitpick_Examples/Record_Nits.thy
author huffman
Sun, 09 May 2010 17:47:43 -0700
changeset 36777 be5461582d0f
parent 35284 9edc2bd6d2bd
child 38185 b51677438b3a
permissions -rw-r--r--
avoid using real-specific versions of generic lemmas

(*  Title:      HOL/Nitpick_Examples/Record_Nits.thy
    Author:     Jasmin Blanchette, TU Muenchen
    Copyright   2009, 2010

Examples featuring Nitpick applied to records.
*)

header {* Examples Featuring Nitpick Applied to Records *}

theory Record_Nits
imports Main
begin

nitpick_params [max_potential = 0, sat_solver = MiniSat_JNI, max_threads = 1,
                timeout = 60 s]

record point2d =
  xc :: int
  yc :: int

lemma "\<lparr>xc = x, yc = y\<rparr> = p\<lparr>xc := x, yc := y\<rparr>"
nitpick [expect = none]
sorry

lemma "\<lparr>xc = x, yc = y\<rparr> = p\<lparr>xc := x\<rparr>"
nitpick [expect = genuine]
oops

lemma "p\<lparr>xc := x, yc := y\<rparr> \<noteq> p"
nitpick [expect = genuine]
oops

lemma "p\<lparr>xc := x, yc := y\<rparr> = p"
nitpick [expect = genuine]
oops

record point3d = point2d +
  zc :: int

lemma "\<lparr>xc = x, yc = y, zc = z\<rparr> = p\<lparr>xc := x, yc := y, zc := z\<rparr>"
nitpick [expect = none]
sorry

lemma "\<lparr>xc = x, yc = y, zc = z\<rparr> = p\<lparr>xc := x\<rparr>"
nitpick [expect = genuine]
oops

lemma "\<lparr>xc = x, yc = y, zc = z\<rparr> = p\<lparr>zc := z\<rparr>"
nitpick [expect = genuine]
oops

lemma "p\<lparr>xc := x, yc := y, zc := z\<rparr> \<noteq> p"
nitpick [expect = genuine]
oops

lemma "p\<lparr>xc := x, yc := y, zc := z\<rparr> = p"
nitpick [expect = genuine]
oops

record point4d = point3d +
  wc :: int

lemma "\<lparr>xc = x, yc = y, zc = z, wc = w\<rparr> = p\<lparr>xc := x, yc := y, zc := z, wc := w\<rparr>"
nitpick [expect = none]
sorry

lemma "\<lparr>xc = x, yc = y, zc = z, wc = w\<rparr> = p\<lparr>xc := x\<rparr>"
nitpick [expect = genuine]
oops

lemma "\<lparr>xc = x, yc = y, zc = z, wc = w\<rparr> = p\<lparr>zc := z\<rparr>"
nitpick [expect = genuine]
oops

lemma "\<lparr>xc = x, yc = y, zc = z, wc = w\<rparr> = p\<lparr>wc := w\<rparr>"
nitpick [expect = genuine]
oops

lemma "p\<lparr>xc := x, yc := y, zc := z, wc := w\<rparr> \<noteq> p"
nitpick [expect = genuine]
oops

lemma "p\<lparr>xc := x, yc := y, zc := z, wc := w\<rparr> = p"
nitpick [expect = genuine]
oops

end