src/HOL/Nitpick_Examples/Record_Nits.thy
author traytel
Mon, 24 Oct 2016 16:53:32 +0200
changeset 64378 e9eb0b99a44c
parent 63167 0909deb8059b
child 74641 6f801e1073fa
permissions -rw-r--r--
apply transfer_prover after folding relator_eq

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

Examples featuring Nitpick applied to records.
*)

section \<open>Examples Featuring Nitpick Applied to Records\<close>

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 "\<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