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Proof step 14 from proof pathex-levelsubset-01 (previous step)

level⊆(str, str0), validref(str, r, ty, st), validrefs(str0, r ' + refs0, st[r -- _type] .type, st) ⊦ r = (r ' + refs0) .last, path∃(str, r, (r ' + refs0) .last, st), dups(refs0), r ∈ refs0

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 13:
level⊆(str, str0), validref(str, r, ty, st), validrefs(str0, r ' + refs0, st[r -- _type] .type, st) ⊦ refs0 = [], r = (r ' + refs0) .last, path∃(str, r, (r ' + refs0) .last, st), dups(refs0), r ∈ refs0

Rule argument

[fma-arg: refs0 = []]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, references, app, ⊦ refs + [] = refs], [CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPNAMEDSEQ : list-last, references, l, ⊦ r ' .last = r])], [EXTRAFMAS : (refs0 = [])]]