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Proof step 43 from proof junkrefs-put-notin (previous step)

∃ i. ¬ i < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i ∧ is_referencevalue(st[r0 -- i ']) ∧ r1 = st[r0 -- i '] .refval ∧ junkrefs(str, st[r0 -- i '] .refval ' + refs, st[r0 -- _type] .type .type, st), is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str0, ty0, st0, r2, sk0, val0. (junkrefs(str0, r1 ' + refs, ty0, st0[r2 -- sk0, val0]) ↔ junkrefs(str0, r1 ' + refs, ty0, st0)) ∨ r2 = r1 ∨ r2 ∈ refs ⊦ ∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ r1 = st[r0 -- i '] .refval ∧ junkrefs(str, st[r0 -- i '] .refval ' + refs, st[r0 -- _type] .type .type, st[r -- sk, val]), r = r0, r0 = jvmref, r = r1, r ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 42:
is_referencevalue(st[r0 -- i ']), junkrefs(str, st[r0 -- i '] .refval ' + refs, st[r0 -- _type] .type .type, st), is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, 0 ≤ i, 0 < st[r0 -- _length] .intval, ∀ str0, ty0, st0, r2, sk0, val0. (junkrefs(str0, st[r0 -- i '] .refval ' + refs, ty0, st0[r2 -- sk0, val0]) ↔ junkrefs(str0, st[r0 -- i '] .refval ' + refs, ty0, st0)) ∨ r2 = st[r0 -- i '] .refval ∨ r2 ∈ refs ⊦ r = r0, r0 = jvmref, r = st[r0 -- i '] .refval, r ∈ refs, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r0 -- i0 ']) ∧ st[r0 -- i '] .refval = st[r0 -- i0 '] .refval ∧ junkrefs(str, st[r0 -- i0 '] .refval ' + refs, st[r0 -- _type] .type .type, st[r -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]