1.1 --- a/src/HOL/Lambda/Eta.thy	Fri Nov 17 02:19:55 2006 +0100
     1.2 +++ b/src/HOL/Lambda/Eta.thy	Fri Nov 17 02:20:03 2006 +0100
     1.3 @@ -22,11 +22,15 @@
     1.4    eta :: "(dB \<times> dB) set"
     1.5  
     1.6  abbreviation
     1.7 -  eta_red :: "[dB, dB] => bool"   (infixl "-e>" 50)
     1.8 +  eta_red :: "[dB, dB] => bool"   (infixl "-e>" 50) where
     1.9    "s -e> t == (s, t) \<in> eta"
    1.10 -  eta_reds :: "[dB, dB] => bool"   (infixl "-e>>" 50)
    1.11 +
    1.12 +abbreviation
    1.13 +  eta_reds :: "[dB, dB] => bool"   (infixl "-e>>" 50) where
    1.14    "s -e>> t == (s, t) \<in> eta^*"
    1.15 -  eta_red0 :: "[dB, dB] => bool"   (infixl "-e>=" 50)
    1.16 +
    1.17 +abbreviation
    1.18 +  eta_red0 :: "[dB, dB] => bool"   (infixl "-e>=" 50) where
    1.19    "s -e>= t == (s, t) \<in> eta^="
    1.20  
    1.21  inductive eta
    1.22 @@ -224,7 +228,7 @@
    1.23    par_eta :: "(dB \<times> dB) set"
    1.24  
    1.25  abbreviation
    1.26 -  par_eta_red :: "[dB, dB] => bool"   (infixl "=e>" 50)
    1.27 +  par_eta_red :: "[dB, dB] => bool"   (infixl "=e>" 50) where
    1.28    "s =e> t == (s, t) \<in> par_eta"
    1.29  
    1.30  notation (xsymbols)