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Proof step 37 from proof unchanged-junkrefs (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
⊦ unchangedNorec(r, st, st0) ∧ is_array(str, r, st0) → (¬ is_array(str, r, st) ↔ false)
Proof step 36:
st[r -- _length] = st1[r -- _length], st[r -- _type] = st1[r -- _type], junkrefs(str, st[r -- i '] .refval ' + refs, st1[r -- _type] .type .type, st1), is_referencevalue(st[r -- i ']), i < st1[r -- _length] .intval, is_array(str, r, st), is_array(str, r, st1), 0 < st1[r -- _length] .intval, 0 ≤ i, is_arraytype(st1[r -- _type] .type), unchangedNorec(r, st, st1), st1[r -- _type] .type ≤ ty, unchanged(str, r, st, st1) ⊦ r = jvmref, st[r -- i '] .refval = jvmref, junkrefs(str, st[r -- i '] .refval ' + refs, st1[r -- _type] .type .type, st), unchanged(str, st[r -- i '] .refval, st, st1), st[st[r -- i '] .refval -- _type] .type ≤ st1[r -- _type] .type .type ∧ is_valid_ref(str, st[r -- i '] .refval, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]