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Proof step 11 from proof validref-array-rec (previous step)

st[r -- i '] = refval(r0), 0 < st[r -- _length] .intval, 0 ≤ i, i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, is_array(str, r, st), ∀ i0. i0 < 0 ∨ st[r -- _length] .intval ≤ i0 ∨ ¬ is_referencevalue(st[r -- i0 ']) ∨ st[r -- i0 '] .refval = jvmref ∨ st[st[r -- i0 '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ validref(str, st[r -- i0 '] .refval, st[r -- _type] .type .type, st) ⊦ r = jvmref, r0 = jvmref, st[r0 -- _type] .type ≤ st[r -- _type] .type .type ∧ ¬ junkref(str, r0, st)

User applied rule all left

And obtained the following new goals

Proof step 10:
⊦ junkref(str, r, st) → ¬ validref(str, r, ty, st)

Rule argument

[EXRARG : pos: left 7, [extquanttermlist: (i)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r])], [EXTRATERMS : (i)]]