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Proof step 49 from proof unchanged-junkrefs (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty, st[r -- _type] = st1[r -- _type], st[r -- _length] = st1[r -- _length], is_array(str, r, st), junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), st1[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), is_arraytype(st1[r -- _type] .type), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, refs0 ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs0 .first = st[r -- i '] .refval ∧ junkrefs(str, refs0, st[r -- _type] .type .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 48:
st[r -- _type] = st1[r -- _type], st[r -- _length] = st1[r -- _length], is_array(str, r, st), junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), st1[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), is_arraytype(st1[r -- _type] .type), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, refs0 ≠ [] ∧ (∃ i. ¬ i < 0 ∧ ¬ st1[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ refs0 .first = st[r -- i '] .refval ∧ junkrefs(str, refs0, st1[r -- _type] .type .type, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]