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Proof step 128 from proof hasSharing-dd-help (previous step)

validrefs(str, r ' + refs + r1 ', st[r -- _type] .type, st), validrefs(str, r2 ' + refs2 + r0 ', st[r2 -- _type] .type, st), ∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r2 ∧ validrefs(str, refs, st[r -- _type] .type, st), validrefs(str, (r ' + refs) + r1 ' + refs1 + r0 ', st[r -- _type] .type, st) ⊦ r2 = r1, r0 = jvmref, r1 = r0, path∃(str, r1, r2, st), path∃(str, r2, r1, st), hasSharing(r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 127:
validrefs(str, refs0 .first ' + refs + r1 ', st[refs0 .first -- _type] .type, st), validrefs(str, refs0 .last ' + refs2 + r0 ', st[refs0 .last -- _type] .type, st), validrefs(str, refs0, st[refs0 .first -- _type] .type, st), validrefs(str, (refs0 .first ' + refs) + r1 ' + refs1 + r0 ', st[refs0 .first -- _type] .type, st) ⊦ refs0 .last = r1, r0 = jvmref, r1 = r0, refs0 = [], path∃(str, r1, refs0 .last, st), path∃(str, refs0 .last, r1, st), hasSharing(refs0 .first, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]