# HG changeset patch # User paulson # Date 872160860 -7200 # Node ID bc2c363371ee27a6a4a1aaadc10ebd7016de8d67 # Parent a64c8fbcd98f8149b762eb7ba5bfc1d0dc1a0aac Replaced Suc(Suc 0) by 2; it improves readability a little diff -r a64c8fbcd98f -r bc2c363371ee src/HOL/ex/NatSum.ML --- a/src/HOL/ex/NatSum.ML Thu Aug 21 12:53:23 1997 +0200 +++ b/src/HOL/ex/NatSum.ML Thu Aug 21 12:54:20 1997 +0200 @@ -19,7 +19,7 @@ qed "sum_of_naturals"; goal NatSum.thy - "Suc(Suc(Suc(Suc(Suc(Suc(0))))))*sum (%i.i*i) (Suc n) = n*Suc(n)*Suc(2*n)"; + "Suc(Suc(Suc(Suc 2)))*sum (%i.i*i) (Suc n) = n*Suc(n)*Suc(2*n)"; by (Simp_tac 1); by (nat_ind_tac "n" 1); by (Simp_tac 1); @@ -27,7 +27,7 @@ qed "sum_of_squares"; goal NatSum.thy - "Suc(Suc(Suc(Suc(0))))*sum (%i.i*i*i) (Suc n) = n*n*Suc(n)*Suc(n)"; + "Suc(Suc 2)*sum (%i.i*i*i) (Suc n) = n*n*Suc(n)*Suc(n)"; by (Simp_tac 1); by (nat_ind_tac "n" 1); by (Simp_tac 1);