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Proof step 36 from proof junkrefs-put-badarrayindex (previous step)

is_array(str, r, st[r0 -- i ', val]) ∧ (st[r0 -- i ', val][r -- _type]) .type ≤ ty, is_array(str, r, st), acc ≠ [] ∧ (∃ i0. 0 ≤ i0 ∧ i0 < (st[r0 -- i ', val][r -- _length]) .intval ∧ is_referencevalue(st[r0 -- i ', val][r -- i0 ']) ∧ acc .first = (st[r0 -- i ', val][r -- i0 ']) .refval ∧ junkrefs(str, acc, (st[r0 -- i ', val][r -- _type]) .type .type, st[r0 -- i ', val])), st[r -- _type] .type ≤ ty, ∀ str, ty, st, r0, i, val. junkrefs(str, acc, ty, st[r0 -- i ', val]) → junkrefs(str, acc, ty, st) ∨ is_array(str, r0, st) ⊦ r = jvmref, is_array(str, r0, st), junkrefs(str, r ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
acc .first = (st[r0 -- i ', val][r -- i0 ']) .refval, is_array(str, r, st[r0 -- i ', val]), st[r -- _type] .type ≤ ty, is_array(str, r, st), i0 < st[r -- _length] .intval, is_referencevalue(st[r0 -- i ', val][r -- i0 ']), junkrefs(str, acc, st[r -- _type] .type .type, st[r0 -- i ', val]), 0 ≤ i0, 0 < st[r -- _length] .intval, ∀ str, ty, st, r0, i, val. junkrefs(str, acc, ty, st[r0 -- i ', val]) → junkrefs(str, acc, ty, st) ∨ is_array(str, r0, st) ⊦ r = jvmref, acc = [], is_array(str, r0, st), junkrefs(str, r ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- _length] ) = st[r0 -- _length]], [CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- _type]) = st[r0 -- _type]])]]