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Proof step 45 from proof junkref-addobj-01 (previous step)

is_array(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validfieldinits(fis, st), class+∃(str, class), newref(r, st), refs ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ refs .first = st[r0 -- i '] .refval ∧ junkrefs(str, refs, st[r0 -- _type] .type .type, st)) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), r0 ' + refs ≠ [] ∧ (r0 ' + refs) .first = r0 ∧ junkrefs(str, r0 ' + refs, st[(r0 ' + refs) .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), refs .first = st[r0 -- i '] .refval, st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validfieldinits(fis, st), class+∃(str, class), newref(r, st), i < st[r0 -- _length] .intval, is_referencevalue(st[r0 -- i ']), junkrefs(str, refs, st[r0 -- _type] .type .type, st), 0 ≤ i, 0 < st[r0 -- _length] .intval ⊦ r = jvmref, r0 = jvmref, refs = [], is_abstract(class), junkrefs(str, r0 ' + refs, st[r0 -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []])]]