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Proof step 29 from proof validrefs-del-junkrefs (previous step)

is_array(str, r0, st), st[r0 -- i '] = refval(r), 0 < st[r0 -- _length] .intval, 0 ≤ i, junkrefs(str, r ', st[r0 -- _type] .type .type, st -- r), i < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty ⊦ r = r0, r0 = jvmref, r = jvmref, ∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ st[r0 -- i '] .refval ≠ jvmref ∧ (¬ st[st[r0 -- i '] .refval -- _type] .type ≤ st[r0 -- _type] .type .type ∨ junkref(str, st[r0 -- i '] .refval, st)), is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ st[r0 -- _type] .type .type

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
st[r0 -- i '] = refval(r), 0 < st[r0 -- _length] .intval, 0 ≤ i, junkrefs(str, r ', st[r0 -- _type] .type .type, st -- r), i < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty ⊦ r = r0, r0 = jvmref, r = jvmref, is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ st[r0 -- _type] .type .type, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r0 -- i0 ']) ∧ st[r0 -- i0 '] .refval ≠ jvmref ∧ (¬ st[st[r0 -- i0 '] .refval -- _type] .type ≤ st[r0 -- _type] .type .type ∨ junkref(str, st[r0 -- i0 '] .refval, st))

Rule argument

[emptyarg]

Additional information

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