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Proof step 35 from proof junkrefs-addarray (previous step)

st[r -- i '] = refval(r2), 0 ≤ i, st[r -- _type] .type ≤ ty, newref(r0, st), junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, addarray(r0, ty0, vals, st)), i < st[r -- _length] .intval, is_array(str, r, st), is_array(str, r, addarray(r0, ty0, vals, st)), 0 < st[r -- _length] .intval, ∀ str0, ty1, r1, ty2, vals0, st0. junkrefs(str0, r2 ' + refs, ty1, addarray(r1, ty2, vals0, st0)) ∧ newref(r1, st0) → r1 = jvmref ∨ junkrefs(str0, r2 ' + refs, ty1, st0) ⊦ r0 = jvmref, r = jvmref, r = r0, ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ r2 = st[r -- i '] .refval ∧ junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
st[r -- i '] = refval(r2), 0 < st[r -- _length] .intval, is_array(str, r, addarray(r0, ty0, vals, st)), is_array(str, r, st), i < st[r -- _length] .intval, junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, addarray(r0, ty0, vals, st)), newref(r0, st), st[r -- _type] .type ≤ ty, 0 ≤ i, ∀ str0, ty1, r1, ty2, vals0, st0. junkrefs(str0, r2 ' + refs, ty1, addarray(r1, ty2, vals0, st0)) ∧ newref(r1, st0) → r1 = jvmref ∨ junkrefs(str0, r2 ' + refs, ty1, st0) ⊦ r = r0, r = jvmref, r0 = jvmref, junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])]]