src/HOL/Word/Num_Lemmas.thy
changeset 26514 eff55c0a6d34
parent 26296 988a103afbab
child 26560 d2fc9a18ee8a
equal deleted inserted replaced
26513:6f306c8c2c54 26514:eff55c0a6d34
    11 
    11 
    12 datatype bit = B0 | B1
    12 datatype bit = B0 | B1
    13 
    13 
    14 definition
    14 definition
    15   Bit :: "int \<Rightarrow> bit \<Rightarrow> int" (infixl "BIT" 90) where
    15   Bit :: "int \<Rightarrow> bit \<Rightarrow> int" (infixl "BIT" 90) where
    16   [code func del]: "k BIT b = (case b of B0 \<Rightarrow> 0 | B1 \<Rightarrow> 1) + k + k"
    16   "k BIT b = (case b of B0 \<Rightarrow> 0 | B1 \<Rightarrow> 1) + k + k"
    17 
    17 
    18 lemma BIT_B0_eq_Bit0 [simp]: "w BIT B0 = Int.Bit0 w"
    18 lemma BIT_B0_eq_Bit0 [simp]: "w BIT B0 = Int.Bit0 w"
    19   unfolding Bit_def Bit0_def by simp
    19   unfolding Bit_def Bit0_def by simp
    20 
    20 
    21 lemma BIT_B1_eq_Bit1 [simp]: "w BIT B1 = Int.Bit1 w"
    21 lemma BIT_B1_eq_Bit1 [simp]: "w BIT B1 = Int.Bit1 w"