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(* Title: HOL/SPARK/Examples/RIPEMD-160/F.thy
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Author: Fabian Immler, TU Muenchen
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Verification of the RIPEMD-160 hash function
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*)
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theory F
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imports RMD_Specification
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begin
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spark_open \<open>rmd/f\<close>
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spark_vc function_f_2
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using assms by simp_all
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spark_vc function_f_3
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using assms by simp_all
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spark_vc function_f_4
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using assms by simp_all
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spark_vc function_f_5
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using assms by simp_all
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spark_vc function_f_6
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proof -
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from H8 have "nat j <= 15" by simp
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with assms show ?thesis
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by (simp add: f_def bwsimps int_word_uint)
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qed
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spark_vc function_f_7
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proof -
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from H7 have "16 <= nat j" by simp
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moreover from H8 have "nat j <= 31" by simp
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ultimately show ?thesis using assms
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by (simp add: f_def bwsimps int_word_uint)
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qed
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spark_vc function_f_8
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proof -
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from H7 have "32 <= nat j" by simp
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moreover from H8 have "nat j <= 47" by simp
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ultimately show ?thesis using assms
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by (simp add: f_def bwsimps int_word_uint)
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qed
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spark_vc function_f_9
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proof -
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from H7 have "48 <= nat j" by simp
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moreover from H8 have "nat j <= 63" by simp
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ultimately show ?thesis using assms
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by (simp add: f_def bwsimps int_word_uint)
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qed
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spark_vc function_f_10
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proof -
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from H2 have "nat j <= 79" by simp
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moreover from H12 have "64 <= nat j" by simp
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ultimately show ?thesis using assms
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by (simp add: f_def bwsimps int_word_uint)
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qed
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spark_end
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end
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