isabelle: src/HOL/SPARK/Examples/RIPEMD-160/R_L.thy@0cc3679999d9 (annotated)

41561 d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	1	(* Title: HOL/SPARK/Examples/RIPEMD-160/R_L.thy
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	2	Author: Fabian Immler, TU Muenchen
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	3
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	4	Verification of the RIPEMD-160 hash function
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	5	*)
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	6
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	7	theory R_L
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	8	imports RMD_Specification RMD_Lemmas
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	9	begin
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	10
69605 a96320074298 isabelle update -u path_cartouches; wenzelm parents: 63167 diff changeset	11	spark_open \<open>rmd/r_l\<close>
41561 d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	12
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	13	spark_vc function_r_l_2
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	14	proof -
63167 0909deb8059b isabelle update_cartouches -c -t; wenzelm parents: 56798 diff changeset	15	from \<open>0 \<le> j\<close> \<open>j \<le> 79\<close>
41561 d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	16	show C: ?C1
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	17	by (simp add: r_def r_list_def nth_map [symmetric, of _ _ int] del: fun_upd_apply)
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	18	(simp add: nth_fun_of_list_eq [of _ _ undefined] del: fun_upd_apply)
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	19	from C show ?C2 by simp
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	20	have "list_all (\<lambda>n. int n \<le> 15) r_list"
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	21	by (simp add: r_list_def)
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	22	moreover have "length r_list = 80"
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	23	by (simp add: r_list_def)
63167 0909deb8059b isabelle update_cartouches -c -t; wenzelm parents: 56798 diff changeset	24	ultimately show ?C3 unfolding C using \<open>j \<le> 79\<close>
41561 d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	25	by (simp add: r_def list_all_length)
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	26	qed
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	27
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	28	spark_end
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	29
d1318f3c86ba Added new SPARK verification environment. berghofe parents: diff changeset	30	end

author	nipkow
	Fri, 16 Dec 2022 18:19:23 +0100
changeset 76651	0cc3679999d9
parent 69605	a96320074298
permissions	-rw-r--r--