equal
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inserted
replaced
272 have "card (?e ?t'' 0) < card (?e ?t' 0)"; |
272 have "card (?e ?t'' 0) < card (?e ?t' 0)"; |
273 proof -; |
273 proof -; |
274 have "card (?e ?t' 0 - {(2 * m + 1, 2 * n + 1)}) |
274 have "card (?e ?t' 0 - {(2 * m + 1, 2 * n + 1)}) |
275 < card (?e ?t' 0)"; |
275 < card (?e ?t' 0)"; |
276 proof (rule card_Diff1_less); |
276 proof (rule card_Diff1_less); |
277 show "finite (?e ?t' 0)"; |
277 from _ fin; show "finite (?e ?t' 0)"; |
278 by (rule finite_subset, rule fin) force; |
278 by (rule finite_subset) force; |
279 show "(2 * m + 1, 2 * n + 1) : ?e ?t' 0"; by simp; |
279 show "(2 * m + 1, 2 * n + 1) : ?e ?t' 0"; by simp; |
280 qed; |
280 qed; |
281 thus ?thesis; by simp; |
281 thus ?thesis; by simp; |
282 qed; |
282 qed; |
283 also; have "... < card (?e ?t 0)"; |
283 also; have "... < card (?e ?t 0)"; |