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Proof step 27 from proof junkref-primarray-level-01 (previous step)

refs0 = r0 + refs1, r0 = st[r -- i '] .refval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), junkrefs(str, refs0, st[r -- _type] .type .type, st), is_array(str1, r, st), 0 ≤ i, 0 < st[r -- _length] .intval, ∀ str1, st, r, str, refs. # refs < # refs0 → (junkrefs(str, r ' + refs, st[r -- _type] .type, st) → has_classtype(st[r -- _type] .type) ∨ junkrefs(str1, r ' + refs, st[r -- _type] .type, st)) ⊦ r = jvmref, refs0 = [], junkrefs(str1, r ' + refs0, st[r -- _type] .type, st), has_classtype(st[r -- _type] .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
is_array(str1, r, st), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), junkrefs(str, st[r -- i '] .refval ' + refs1, st[r -- _type] .type .type, st), ∀ str1, st0, r1, str, refs. # refs < # (st[r -- i '] .refval + refs1) → ( junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → has_classtype(st0[r1 -- _type] .type) ∨ junkrefs(str1, r1 ' + refs, st0[r1 -- _type] .type, st0)) ⊦ r = jvmref, has_classtype(st[r -- _type] .type), junkrefs(str1, r ' + st[r -- i '] .refval ' + refs1, st[r -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

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