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Proof step 60 from proof junkrefs-put-badfield (previous step)

st[r -- i '] = refval(r2), st[r -- _type] .type ≤ ty, is_array(str, r, st[r0 -- fs ', val]), (st[r0 -- fs ', val][r -- _type]) .type ≤ ty, is_array(str, r, st), i < (st[r0 -- fs ', val][r -- _length]) .intval, is_referencevalue(st[r -- i ']), 0 ≤ i, 0 < (st[r0 -- fs ', val][r -- _length]) .intval, junkrefs(str, r2 ' + refs, (st[r0 -- fs ', val][r -- _type]) .type .type, st[r0 -- fs ', val]), ∀ str0, ty0, st0, r1, fs0, val0. junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs0 ', val0]) → junkrefs(str0, r2 ' + refs, ty0, st0) ∨ is_typevalue(st0[r1 -- _type]) ∧ is_reftype(st0[r1 -- _type] .type) ⊦ r = jvmref, junkrefs(str, r ' + r2 ' + refs, ty, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 59:
st[r -- i '] = refval(r2), junkrefs(str, r2 ' + refs, (st[r0 -- fs ', val][r -- _type]) .type .type, st[r0 -- fs ', val]), 0 < (st[r0 -- fs ', val][r -- _length]) .intval, 0 ≤ i, i < (st[r0 -- fs ', val][r -- _length]) .intval, is_array(str, r, st), (st[r0 -- fs ', val][r -- _type]) .type ≤ ty, is_array(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0, r1, fs0, val0. junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs0 ', val0]) → junkrefs(str0, r2 ' + refs, ty0, st0) ∨ is_typevalue(st0[r1 -- _type]) ∧ is_reftype(st0[r1 -- _type] .type) ⊦ r = jvmref, junkrefs(str, r ' + r2 ' + refs, ty, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]