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Proof step 39 from proof junkrefs-put-norefval-01 (previous step)

is_array(str, r, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) ∧ (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- _type]) .type ≤ ty, is_array(str, r, st), acc ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- _length]) .intval ∧ is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- i ']) ∧ acc .first = (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- i ']) .refval ∧ junkrefs(str, acc, (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- _type]) .type .type, st[r1 -- mkfs(class, ty0, fieldvar) ', val])), okval(val, ty0), st[r -- _type] .type ≤ ty, ∀ val, ty0, str, ty, st, r1, class, fieldvar. okval(val, ty0) ∧ junkrefs(str, acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) → ty0 = void_type ∨ mkfs(class, ty0, fieldvar) ' = _length ∨ is_referencevalue(val) ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, junkrefs(str, r ' + acc, ty, st), is_referencevalue(val)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
acc .first = st[r -- i '] .refval, okval(val, ty0), is_array(str, r, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), st[r -- _type] .type ≤ ty, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), junkrefs(str, acc, st[r -- _type] .type .type, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), 0 ≤ i, 0 < st[r -- _length] .intval, ∀ val, ty0, str, ty, st, r1, class, fieldvar. okval(val, ty0) ∧ junkrefs(str, acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) → ty0 = void_type ∨ mkfs(class, ty0, fieldvar) ' = _length ∨ is_referencevalue(val) ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, acc = [], junkrefs(str, r ' + acc, ty, st), is_referencevalue(val)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ ty ≠ void_type → (st[ r -- mkfs (class, ty, fieldvar) ', val] [r0 -- _type ] ) = st[r0 -- _type]], [CSIMPSEQ : ⊦ (st[r0 -- fs ', val][r -- i ']) = st[r -- i ']])]]