Theory Record_Nits

theory Record_Nits
imports Main
(*  Title:      HOL/Nitpick_Examples/Record_Nits.thy
    Author:     Jasmin Blanchette, TU Muenchen
    Copyright   2009-2011

Examples featuring Nitpick applied to records.
*)

header {* Examples Featuring Nitpick Applied to Records *}

theory Record_Nits
imports Main
begin

nitpick_params [verbose, card = 1-6, max_potential = 0,
                sat_solver = MiniSat_JNI, max_threads = 1, timeout = 240]

record point2d =
  xc :: int
  yc :: int

lemma "(|xc = x, yc = y|)), = p(|xc := x, yc := y|)),"
nitpick [expect = none]
sorry

lemma "(|xc = x, yc = y|)), = p(|xc := x|)),"
nitpick [expect = genuine]
oops

lemma "p(|xc := x, yc := y|)), ≠ p"
nitpick [expect = genuine]
oops

lemma "p(|xc := x, yc := y|)), = p"
nitpick [expect = genuine]
oops

record point3d = point2d +
  zc :: int

lemma "(|xc = x, yc = y, zc = z|)), = p(|xc := x, yc := y, zc := z|)),"
nitpick [expect = none]
sorry

lemma "(|xc = x, yc = y, zc = z|)), = p(|xc := x|)),"
nitpick [expect = genuine]
oops

lemma "(|xc = x, yc = y, zc = z|)), = p(|zc := z|)),"
nitpick [expect = genuine]
oops

lemma "p(|xc := x, yc := y, zc := z|)), ≠ p"
nitpick [expect = genuine]
oops

lemma "p(|xc := x, yc := y, zc := z|)), = p"
nitpick [expect = genuine]
oops

record point4d = point3d +
  wc :: int

lemma "(|xc = x, yc = y, zc = z, wc = w|)), = p(|xc := x, yc := y, zc := z, wc := w|)),"
nitpick [expect = none]
sorry

lemma "(|xc = x, yc = y, zc = z, wc = w|)), = p(|xc := x|)),"
nitpick [expect = genuine]
oops

lemma "(|xc = x, yc = y, zc = z, wc = w|)), = p(|zc := z|)),"
nitpick [expect = genuine]
oops

lemma "(|xc = x, yc = y, zc = z, wc = w|)), = p(|wc := w|)),"
nitpick [expect = genuine]
oops

lemma "p(|xc := x, yc := y, zc := z, wc := w|)), ≠ p"
nitpick [expect = genuine]
oops

lemma "p(|xc := x, yc := y, zc := z, wc := w|)), = p"
nitpick [expect = genuine]
oops

end