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Proof step 139 from proof hasSharing-dd-help (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 138:
validrefs(str, refs .last ' + refs1 + r0 ', st[refs .last -- _type] .type, st), validrefs(str, r2 ' + refs2 + r0 ', st[r2 -- _type] .type, st), validrefs(str, refs, st[refs .first -- _type] .type, st), path∃(str, refs .first, r2, st) ⊦ refs .last = r0, r0 = jvmref, r2 = refs .last, refs = [], path∃(str, r2, refs .last, st), path∃(str, refs .last, r2, st), hasSharing(refs .first, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]