equal
deleted
inserted
replaced
207 qed "UN_equiv_class_type2"; |
207 qed "UN_equiv_class_type2"; |
208 |
208 |
209 (*Allows a natural expression of binary operators, without explicit calls |
209 (*Allows a natural expression of binary operators, without explicit calls |
210 to "split"*) |
210 to "split"*) |
211 Goal "(UN (x1,x2):X. UN (y1,y2):Y. A x1 x2 y1 y2) = \ |
211 Goal "(UN (x1,x2):X. UN (y1,y2):Y. A x1 x2 y1 y2) = \ |
212 \ (UN x:X. UN y:Y. split(%x1 x2. split(%y1 y2. A x1 x2 y1 y2) y) x)"; |
212 \ (UN x:X. UN y:Y. (%(x1, x2). (%(y1, y2). A x1 x2 y1 y2) y) x)"; |
213 by Auto_tac; |
213 by Auto_tac; |
214 qed "UN_UN_split_split_eq"; |
214 qed "UN_UN_split_split_eq"; |
215 |
215 |
216 (*Suggested by John Harrison -- the two subproofs may be MUCH simpler |
216 (*Suggested by John Harrison -- the two subproofs may be MUCH simpler |
217 than the direct proof*) |
217 than the direct proof*) |