diff options
Diffstat (limited to 'ProdProps.thy')
| -rw-r--r-- | ProdProps.thy | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/ProdProps.thy b/ProdProps.thy index 3e51102..1af6ad3 100644 --- a/ProdProps.thy +++ b/ProdProps.thy @@ -29,10 +29,10 @@ proof (subst (0 1 2 3) compose_def) proof compute show "\<And>x. x: A \<Longrightarrow> h`(g`(f`x)) \<equiv> h`((\<^bold>\<lambda>y. g`(f`y))`x)" proof compute - show "\<And>x. x: A \<Longrightarrow> g`(f`x): C" by (simple lems: assms) + show "\<And>x. x: A \<Longrightarrow> g`(f`x): C" by (routine lems: assms) qed - show "\<And>x. x: B \<Longrightarrow> h`(g`x): D(g`x)" by (simple lems: assms) - qed (simple lems: assms) + show "\<And>x. x: B \<Longrightarrow> h`(g`x): D(g`x)" by (routine lems: assms) + qed (routine lems: assms) qed fact qed @@ -44,9 +44,9 @@ proof (subst compose_def, subst Prod_eq) show "\<And>a. a: A \<Longrightarrow> (\<^bold>\<lambda>x. c(x))`((\<^bold>\<lambda>x. b(x))`a) \<equiv> (\<^bold>\<lambda>x. c (b x))`a" proof compute show "\<And>a. a: A \<Longrightarrow> c((\<^bold>\<lambda>x. b(x))`a) \<equiv> (\<^bold>\<lambda>x. c(b(x)))`a" - by compute (simple lems: assms, compute?)+ - qed (simple lems: assms) -qed (simple lems: assms) + by (derive lems: assms) + qed (routine lems: assms) +qed (derive lems: assms) end |