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Proof step 33 from proof validrefs-delete (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r. validrefs(str, acc, ty, st -- r) → validrefs(str, acc, ty, st), acc = [] ∨ 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ acc .first = st[r0 -- i '] .refval ∧ validrefs(str, acc, st[r0 -- _type] .type .type, st -- r) ⊦ r0 = jvmref, r = r0, validrefs(str, r0 ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_array(str, r0, st -- r) ↔ is_array(str, r0, st))])]]