equal
deleted
inserted
replaced
193 by (etac finite_imageI 1); |
193 by (etac finite_imageI 1); |
194 by (simp_tac (simpset() addsimps [converse_def,image_def]) 1); |
194 by (simp_tac (simpset() addsimps [converse_def,image_def]) 1); |
195 by Auto_tac; |
195 by Auto_tac; |
196 by (rtac bexI 1); |
196 by (rtac bexI 1); |
197 by (assume_tac 2); |
197 by (assume_tac 2); |
198 by (Simp_tac 1); |
198 by (Simp_tac 1); |
199 by (split_all_tac 1); |
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200 by (Asm_full_simp_tac 1); |
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201 qed "finite_converse"; |
199 qed "finite_converse"; |
202 AddIffs [finite_converse]; |
200 AddIffs [finite_converse]; |
203 |
201 |
204 section "Finite cardinality -- 'card'"; |
202 section "Finite cardinality -- 'card'"; |
205 |
203 |