eliminated spurious fact duplicates;
authorwenzelm
Wed Oct 10 15:17:40 2012 +0200 (2012-10-10)
changeset 49753a344f1a21211
parent 49752 2bbb0013ff82
child 49754 acafcac41690
eliminated spurious fact duplicates;
src/HOL/Cardinals/Wellorder_Embedding_Base.thy
src/HOL/NthRoot.thy
     1.1 --- a/src/HOL/Cardinals/Wellorder_Embedding_Base.thy	Wed Oct 10 15:01:20 2012 +0200
     1.2 +++ b/src/HOL/Cardinals/Wellorder_Embedding_Base.thy	Wed Oct 10 15:17:40 2012 +0200
     1.3 @@ -273,7 +273,7 @@
     1.4  
     1.5  
     1.6  lemma embed_underS:
     1.7 -assumes WELL: "Well_order r" and WELL: "Well_order r'" and
     1.8 +assumes WELL: "Well_order r" and WELL': "Well_order r'" and
     1.9          EMB: "embed r r' f" and IN: "a \<in> Field r"
    1.10  shows "bij_betw f (rel.underS r a) (rel.underS r' (f a))"
    1.11  proof-
     2.1 --- a/src/HOL/NthRoot.thy	Wed Oct 10 15:01:20 2012 +0200
     2.2 +++ b/src/HOL/NthRoot.thy	Wed Oct 10 15:17:40 2012 +0200
     2.3 @@ -398,9 +398,9 @@
     2.4  
     2.5  lemma DERIV_real_root_generic:
     2.6    assumes "0 < n" and "x \<noteq> 0"
     2.7 -  and even: "\<lbrakk> even n ; 0 < x \<rbrakk> \<Longrightarrow> D = inverse (real n * root n x ^ (n - Suc 0))"
     2.8 -  and even: "\<lbrakk> even n ; x < 0 \<rbrakk> \<Longrightarrow> D = - inverse (real n * root n x ^ (n - Suc 0))"
     2.9 -  and odd: "odd n \<Longrightarrow> D = inverse (real n * root n x ^ (n - Suc 0))"
    2.10 +    and "\<lbrakk> even n ; 0 < x \<rbrakk> \<Longrightarrow> D = inverse (real n * root n x ^ (n - Suc 0))"
    2.11 +    and "\<lbrakk> even n ; x < 0 \<rbrakk> \<Longrightarrow> D = - inverse (real n * root n x ^ (n - Suc 0))"
    2.12 +    and "odd n \<Longrightarrow> D = inverse (real n * root n x ^ (n - Suc 0))"
    2.13    shows "DERIV (root n) x :> D"
    2.14  using assms by (cases "even n", cases "0 < x",
    2.15    auto intro: DERIV_real_root[THEN DERIV_cong]