theory Proc1 imports SPARK begin spark_open "loop_invariant/proc1.siv" spark_vc procedure_proc1_5 by (simp add: ring_distribs pull_mods) spark_vc procedure_proc1_8 by (simp add: ring_distribs pull_mods) spark_end lemma pow_2_32_simp: "4294967296 = (2::int)^32" by simp end