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Proof step 126 from proof hasSharing-dd-help (previous step)

refs0 = r + refs3, validrefs(str, r ' + refs + r1 ', st[r -- _type] .type, st), validrefs(str, refs0 .last ' + refs2 + r0 ', st[refs0 .last -- _type] .type, st), validrefs(str, refs0, st[r -- _type] .type, st), validrefs(str, (r ' + refs) + r1 ' + refs1 + r0 ', st[r -- _type] .type, st) ⊦ refs0 .last = r1, r0 = jvmref, r1 = r0, refs0 = [], path∃(str, r1, refs0 .last, st), path∃(str, refs0 .last, r1, st), hasSharing(r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 125:
validrefs(str, (r ' + refs) + r1 ' + refs1 + r0 ', st[r -- _type] .type, st), validrefs(str, r ' + refs + r1 ', st[r -- _type] .type, st), validrefs(str, (r ' + refs3) .last ' + refs2 + r0 ', st[(r ' + refs3) .last -- _type] .type, st), validrefs(str, r ' + refs3, st[r -- _type] .type, st) ⊦ r0 = jvmref, r1 = r0, (r ' + refs3) .last = r1, hasSharing(r, st), path∃(str, r1, (r ' + refs3) .last, st), path∃(str, (r ' + refs3) .last, r1, st)

Rule argument

[emptyarg]

Additional information

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