preprocess "Ex" before doing clausification in Metis;
this is dual to "All" in b96941dddd04
(* 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 [card = 1\<midarrow>6, 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