equal
deleted
inserted
replaced
2191 and csf: "wfactors G cs c" |
2191 and csf: "wfactors G cs c" |
2192 and csmset: "fmset G cs = fmset G bs - fmset G as" by auto |
2192 and csmset: "fmset G cs = fmset G bs - fmset G as" by auto |
2193 |
2193 |
2194 from csmset msubset |
2194 from csmset msubset |
2195 have "fmset G bs = fmset G as + fmset G cs" |
2195 have "fmset G bs = fmset G as + fmset G cs" |
2196 by (simp add: multiset_ext_iff mset_le_def) |
2196 by (simp add: multiset_eq_iff mset_le_def) |
2197 hence basc: "b \<sim> a \<otimes> c" |
2197 hence basc: "b \<sim> a \<otimes> c" |
2198 by (rule fmset_wfactors_mult) fact+ |
2198 by (rule fmset_wfactors_mult) fact+ |
2199 |
2199 |
2200 thus ?thesis |
2200 thus ?thesis |
2201 proof (elim associatedE2) |
2201 proof (elim associatedE2) |