fix exponentiation

diff --git a/helm/software/matita/core_notation.moo b/helm/software/matita/core_notation.moo
index 98658726a1699a40f4dfa5bb4045c56c8b920c73..9970c9cfb6d6d331dd4847490f399e6e197ca9fb 100644 (file)
--- a/helm/software/matita/core_notation.moo
+++ b/helm/software/matita/core_notation.moo
@@ -201,7 +201,8 @@ notation "hvbox(a break \circ b)"
   left associative with precedence 55
 for @{ 'compose $a $b }.
 
-notation "↓a" with precedence 55 for @{ 'downarrow $a }.
+notation < "↓ \ensp a" with precedence 55 for @{ 'downarrow $a }.
+notation > "↓ a" with precedence 55 for @{ 'downarrow $a }.
 
 notation "hvbox(U break ↓ V)" non associative with precedence 55 for @{ 'fintersects $U $V }.
 
@@ -209,7 +210,8 @@ notation "↑a" with precedence 55 for @{ 'uparrow $a }.
 
 notation "hvbox(a break ↑ b)" with precedence 55 for @{ 'funion $a $b }.
 
-notation "a \sup b" left associative with precedence 90 for @{ 'exp $a $b}.
+notation "a \sup term 89 b" with precedence 90 for @{ 'exp $a $b}.
+notation > "a ^ term 89 b"  with precedence 90 for @{ 'exp $a $b}.
 notation "s \sup (-1)" with precedence 90 for @{ 'invert $s }.
 notation > "s ^ (-1)" with precedence 90 for @{ 'invert $s }.
 notation < "s \sup (-1) x" with precedence 90 for @{ 'invert_appl $s $x}. 

diff --git a/helm/software/matita/library/nat/factorization.ma b/helm/software/matita/library/nat/factorization.ma
index 6226f3b6de81997ac3eefa61006d0c54205deafc..92f64e56d9a9c7a556a21f1cacd6d60edaf3b81e 100644 (file)
--- a/helm/software/matita/library/nat/factorization.ma
+++ b/helm/software/matita/library/nat/factorization.ma
@@ -526,7 +526,7 @@ split
       [apply lt_O_nth_prime_n
       |apply (lt_O_n_elim ? H).
        intro.
-       apply (witness ? ? (r*(nth_prime p \sup m))).
+       apply (witness ? ? ((r*(nth_prime p) \sup m))).
        rewrite < assoc_times.
        rewrite < sym_times in \vdash (? ? ? (? % ?)).
        rewrite > exp_n_SO in \vdash (? ? ? (? (? ? %) ?)).