(* Title: HOL/SPARK/Examples/RIPEMD-160/K_L.thy
Author: Fabian Immler, TU Muenchen
Verification of the RIPEMD-160 hash function
*)
theory K_L
imports RMD_Specification
begin
spark_open \<open>rmd/k_l\<close>
spark_vc function_k_l_6
using assms by (simp add: K_def)
spark_vc function_k_l_7
proof -
from H1 have "16 <= nat j" by simp
moreover from H2 have "nat j <= 31" by simp
ultimately show ?thesis by (simp add: K_def)
qed
spark_vc function_k_l_8
proof -
from H1 have "32 <= nat j" by simp
moreover from H2 have "nat j <= 47" by simp
ultimately show ?thesis by (simp add: K_def)
qed
spark_vc function_k_l_9
proof -
from H1 have "48 <= nat j" by simp
moreover from H2 have "nat j <= 63" by simp
ultimately show ?thesis by (simp add: K_def)
qed
spark_vc function_k_l_10
proof -
from H6 have "64 <= nat j" by simp
moreover from H2 have "nat j <= 79" by simp
ultimately show ?thesis by (simp add: K_def)
qed
spark_end
end