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(* Title: HOL/SPARK/Examples/RIPEMD-160/K_R.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 K_R
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imports RMD_Specification
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begin
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69605
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spark_open \<open>rmd/k_r\<close>
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41561
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spark_vc function_k_r_6
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using assms by (simp add: K'_def)
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spark_vc function_k_r_7
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proof-
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from H1 have "16 <= nat j" by simp
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moreover from H2 have "nat j <= 31" by simp
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ultimately show ?thesis by (simp add: K'_def)
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qed
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spark_vc function_k_r_8
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proof -
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from H1 have "32 <= nat j" by simp
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moreover from H2 have "nat j <= 47" by simp
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ultimately show ?thesis by (simp add: K'_def)
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qed
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spark_vc function_k_r_9
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proof -
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from H1 have "48 <= nat j" by simp
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moreover from H2 have "nat j <= 63" by simp
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ultimately show ?thesis by (simp add: K'_def)
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qed
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spark_vc function_k_r_10
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proof -
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from H6 have "64 <= nat j" by simp
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moreover from H2 have "nat j <= 79" by simp
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ultimately show ?thesis by (simp add: K'_def)
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qed
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spark_end
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end
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