src/HOL/Hoare/Arith2.thy
changeset 1824 44254696843a
parent 1558 9c6ebfab4e05
child 3372 6e472c8f0011
equal deleted inserted replaced
1823:e1458e1a9f80 1824:44254696843a
    17 
    17 
    18   gcd     :: [nat, nat] => nat
    18   gcd     :: [nat, nat] => nat
    19   "gcd m n     == @x.(cd x m n) & (!y.(cd y m n) --> y<=x)"
    19   "gcd m n     == @x.(cd x m n) & (!y.(cd y m n) --> y<=x)"
    20 
    20 
    21   pow     :: [nat, nat] => nat                              (infixl 75)
    21   pow     :: [nat, nat] => nat                              (infixl 75)
    22   "m pow n     == nat_rec n (Suc 0) (%u v.m*v)"
    22   "m pow n     == nat_rec (Suc 0) (%u v.m*v) n"
    23 
    23 
    24   fac     :: nat => nat
    24   fac     :: nat => nat
    25   "fac m       == nat_rec m (Suc 0) (%u v.(Suc u)*v)"
    25   "fac m       == nat_rec (Suc 0) (%u v.(Suc u)*v) m"
    26 
    26 
    27 end
    27 end