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Proof step 11 from proof unchanged-array-forward (conclusion)

⊦ 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)) → unchanged(str, st[r -- i '] .refval, st, st1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
unchanged(str, r, st, st1), i < st[r -- _length] .intval, is_array(str, r, st), is_referencevalue(st[r -- i ']), 0 ≤ i, 0 < st[r -- _length] .intval, 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) ⊦ r = jvmref, unchanged(str, st[r -- i '] .refval, st, st1)

Rule argument

[emptyarg]

Additional information

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