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Proof step 45 from proof junkrefs-addarray (previous step)

is_array(str, r, addarray(r0, ty0, vals, st)) ∧ (addarray(r0, ty0, vals, st)[r -- _type]) .type ≤ ty, is_array(str, r, st), acc ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < (addarray(r0, ty0, vals, st)[r -- _length]) .intval ∧ is_referencevalue(addarray(r0, ty0, vals, st)[r -- i ']) ∧ acc .first = (addarray(r0, ty0, vals, st)[r -- i ']) .refval ∧ junkrefs(str, acc, (addarray(r0, ty0, vals, st)[r -- _type]) .type .type, addarray(r0, ty0, vals, st))), newref(r0, st), st[r -- _type] .type ≤ ty, ∀ str, ty, r0, ty0, vals, st. junkrefs(str, acc, ty, addarray(r0, ty0, vals, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, r0 = jvmref, junkrefs(str, r ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
acc .first = (addarray(r0, ty0, vals, st)[r -- i ']) .refval, is_array(str, r, addarray(r0, ty0, vals, st)), (addarray(r0, ty0, vals, st)[r -- _type]) .type ≤ ty, is_array(str, r, st), i < (addarray(r0, ty0, vals, st)[r -- _length]) .intval, is_referencevalue(addarray(r0, ty0, vals, st)[r -- i ']), junkrefs(str, acc, (addarray(r0, ty0, vals, st)[r -- _type]) .type .type, addarray(r0, ty0, vals, st)), newref(r0, st), st[r -- _type] .type ≤ ty, 0 ≤ i, 0 < (addarray(r0, ty0, vals, st)[r -- _length]) .intval, ∀ str, ty, r0, ty0, vals, st. junkrefs(str, acc, ty, addarray(r0, ty0, vals, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, r0 = jvmref, acc = [], junkrefs(str, r ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j])]]