equal
deleted
inserted
replaced
387 by (Blast_tac 1); |
387 by (Blast_tac 1); |
388 qed "Int_Union_Union"; |
388 qed "Int_Union_Union"; |
389 |
389 |
390 (** Needed for WF reasoning in WFair.ML **) |
390 (** Needed for WF reasoning in WFair.ML **) |
391 |
391 |
392 Goal "less_than ^^ {k} = greaterThan k"; |
392 Goal "less_than ``` {k} = greaterThan k"; |
393 by (Blast_tac 1); |
393 by (Blast_tac 1); |
394 qed "Image_less_than"; |
394 qed "Image_less_than"; |
395 |
395 |
396 Goal "less_than^-1 ^^ {k} = lessThan k"; |
396 Goal "less_than^-1 ``` {k} = lessThan k"; |
397 by (Blast_tac 1); |
397 by (Blast_tac 1); |
398 qed "Image_inverse_less_than"; |
398 qed "Image_inverse_less_than"; |
399 |
399 |
400 Addsimps [Image_less_than, Image_inverse_less_than]; |
400 Addsimps [Image_less_than, Image_inverse_less_than]; |