Mercurial Mercurial > repos > isabelle / diff
summary | shortlog | changelog | graph | tags | bookmarks | branches | files | changeset | file | latest | revisions | annotate | diff | comparison | raw | help
Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
src/ZF/ex/Ring.thy
changeset 76214 0c18df79b1c8
parent 76213 e44d86131648
child 76215 a642599ffdea 
--- a/src/ZF/ex/Ring.thy	Tue Sep 27 16:51:35 2022 +0100
+++ b/src/ZF/ex/Ring.thy	Tue Sep 27 17:03:23 2022 +0100
@@ -234,9 +234,9 @@
   ring_hom :: "[i,i] => i" where
   "ring_hom(R,S) \<equiv>
     {h \<in> carrier(R) -> carrier(S).
-      (\<forall>x y. x \<in> carrier(R) & y \<in> carrier(R) \<longrightarrow>
-        h ` (x \<cdot>\<^bsub>R\<^esub> y) = (h ` x) \<cdot>\<^bsub>S\<^esub> (h ` y) &
-        h ` (x \<oplus>\<^bsub>R\<^esub> y) = (h ` x) \<oplus>\<^bsub>S\<^esub> (h ` y)) &
+      (\<forall>x y. x \<in> carrier(R) \<and> y \<in> carrier(R) \<longrightarrow>
+        h ` (x \<cdot>\<^bsub>R\<^esub> y) = (h ` x) \<cdot>\<^bsub>S\<^esub> (h ` y) \<and>
+        h ` (x \<oplus>\<^bsub>R\<^esub> y) = (h ` x) \<oplus>\<^bsub>S\<^esub> (h ` y)) \<and>
       h ` \<one>\<^bsub>R\<^esub> = \<one>\<^bsub>S\<^esub>}"
 
 lemma ring_hom_memI:
isabelle