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Proof step 56 from proof ex-fits-validrefs-stronger (previous step)

# refs = # sks0, st[r -- i '] = refval(r0), st[r -- _type] .type = mkarraytype(ty), 0 ≤ i, 0 < st[r -- _length] .intval, i < st[r -- _length] .intval, validrefs(str, r0 ' + refs, st[r0 -- _type] .type, st), fits(r0, sks0, st), is_array(str, r, st), ∀ sks1. sks1 ⊑ sks0 ∧ sks1 ≠ [] → st[r0 -- sks1] .refval = (r0 ' + refs)[# sks1] ⊦ r = jvmref, st[r0 -- _type] .type ≤ ty, validrefs(str, r0 ' + refs, ty, st), junkref(str, r0, 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 ≤ ty ∨ junkref(str, st[r -- i0 '] .refval, st))

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 5, [extquanttermlist: (i)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ validrefs (str, jvmref ' + refs, ty, st) ↔ refs = []])], [EXTRATERMS : (i)]]