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Proof step 137 from proof hasSharing-dd-help (previous step)

refs = r + refs0, 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[r -- _type] .type, st), path∃(str, r, r2, st) ⊦ refs .last = r0, r0 = jvmref, r2 = refs .last, refs = [], path∃(str, r2, refs .last, st), path∃(str, refs .last, r2, st), hasSharing(r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 136:
path∃(str, r, r2, st), validrefs(str, (r ' + refs0) .last ' + refs1 + r0 ', st[(r ' + refs0) .last -- _type] .type, st), validrefs(str, r2 ' + refs2 + r0 ', st[r2 -- _type] .type, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ (r ' + refs0) .last = r0, r0 = jvmref, r2 = (r ' + refs0) .last, hasSharing(r, st), path∃(str, r2, (r ' + refs0) .last, st), path∃(str, (r ' + refs0) .last, r2, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]