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Proof step 36 from proof hasSharing-dd-help (previous step)

# refs1 = # refs2 + 1 + # refs0, # sks0 = 2 + # refs + # refs1, # refs4 = # refs, st[r -- firstn(1 + # refs, sks0)] = refval(r1), validrefs(str, (r1 ' + refs0) + r2 ' + refs2 + r0 ', st[r1 -- _type] .type, st), validrefs(str, r ' + refs4 + (r1 ' + refs0) + r2 ' + refs2 + r0 ', st[r -- _type] .type, st), validrefs(str, r ' + refs + r1 ' + refs1 + r0 ', st[r -- _type] .type, st), fits(r, sks0, st) ⊦ r1 = r0, r2 = r1, r0 = jvmref, path∃(str, r2, r1, st), hasSharing(r, st), (r1 ' + refs0) + r2 ' ≠ [] ∧ ((r1 ' + refs0) + r2 ') .first = r1 ∧ ((r1 ' + refs0) + r2 ') .last = r2 ∧ validrefs(str, (r1 ' + refs0) + r2 ', st[((r1 ' + refs0) + r2 ') .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
# refs1 = # refs2 + 1 + # refs0, # sks0 = 2 + # refs + # refs1, # refs4 = # refs, st[r -- firstn(1 + # refs, sks0)] = refval(r1), validrefs(str, (r1 ' + refs0) + r2 ' + refs2 + r0 ', st[r1 -- _type] .type, st), validrefs(str, r ' + refs4 + (r1 ' + refs0) + r2 ' + refs2 + r0 ', st[r -- _type] .type, st), validrefs(str, r ' + refs + r1 ' + refs1 + r0 ', st[r -- _type] .type, st), fits(r, sks0, st) ⊦ r1 = r0, r2 = r1, r0 = jvmref, path∃(str, r2, r1, st), hasSharing(r, st), validrefs(str, (r1 ' + refs0) + r2 ', st[r1 -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs + r0 ') .last = r0], [CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []])]]