sum-union ⊦ Σ(ns1 ∪ ns2, f) = Σ(ns1, f) + Σ(ns2 \ ns1, f)sum-recsum-base
611sum-union-proofsum-union-proof-info
The proof is valid.
../../../../specs/set-basic/export/unit.xmlset-basicnatset../../../../specs/set-basic/export/eq/longlemmainfo.xmleq../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/une/longlemmainfo.xmlune../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/una/longlemmainfo.xmluna../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/unc/longlemmainfo.xmlunc../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/diff-e-01/longlemmainfo.xmldiff-e-01../../../../specs/ring/export/unit.xmlring../../../../specs/ring/export/addzero-r/longlemmainfo.xmladdzero-r../../../../specs/ring/export/unit.xmlring../../../../specs/ring/export/addassoc/longlemmainfo.xmladdassoc../../../../specs/ring/export/unit.xmlring../../../../specs/ring/export/addcom/longlemmainfo.xmladdcom../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/unadd/longlemmainfo.xmlunadd../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/diff-del-plus-2/longlemmainfo.xmldiff-del-plus-2../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/unin-01/longlemmainfo.xmlunin-01../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/Difference/longlemmainfo.xmlDifference../../../../specs/set-basic/export/unit.xmlset-basicnatset../../../../specs/set-basic/export/size-zero-01/longlemmainfo.xmlsize-zero-01../../../../specs/set-basic/export/unit.xmlset-basicnatset../../../../specs/set-basic/export/ne-01/longlemmainfo.xmlne-01../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/unin/longlemmainfo.xmlunin../../../../specs/set-union/export/unit.xmlset-unionnatset../../../../specs/set-union/export/diff-del-plus-1/longlemmainfo.xmldiff-del-plus-1