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Proof step 49 from proof junkref-update-equiv (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ st[r -- _type] .type, is_array(str, r, st), validFields(r0, fis, st), is_valid_ref(str, r0, st), r1 ' + acc ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ (r1 ' + acc) .first = st[r -- i '] .refval ∧ junkrefs(str, r1 ' + acc, st[r -- _type] .type .type, st)), ∀ r0, fis, st, str, r. validFields(r0, fis, st) ∧ is_valid_ref(str, r0, st) ∧ junkrefs(str, r ' + acc, st[r -- _type] .type, st) → junkref(str, r, update(r0, fis, st)) ∨ path∃(str, r, r0, st) ∨ _type ∈ fis ⊦ r = r0, r = jvmref, junkref(str, r, update(r0, fis, st)), path∃(str, r, r0, st), _type ∈ fis

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 48:
0 < st[r -- _length] .intval, 0 ≤ i, junkrefs(str, st[r -- i '] .refval ' + acc, st[r -- _type] .type .type, st), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, is_valid_ref(str, r0, st), validFields(r0, fis, st), is_array(str, r, st), ∀ r0, fis, st, str, r. validFields(r0, fis, st) ∧ is_valid_ref(str, r0, st) ∧ junkrefs(str, r ' + acc, st[r -- _type] .type, st) → junkref(str, r, update(r0, fis, st)) ∨ path∃(str, r, r0, st) ∨ _type ∈ fis ⊦ r = jvmref, r = r0, _type ∈ fis, path∃(str, r, r0, st), junkref(str, r, update(r0, fis, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ty ≤ ty], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ (r ' + refs) .first = r])]]