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Proof step 90 from proof ex-fits-validrefs-stronger (previous step)

st[r -- sk] = refval(r0), fits(r0, sks0, st), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, junkref(str, r0, st) ∨ validrefs(str, r0 ' + refs, st[r0 -- _type] .type, st) ∧ # refs = # sks0 ∧ (∀ sks1. sks1 ⊑ sks0 ∧ sks1 ≠ [] → st[r0 -- sks1] .refval = (r0 ' + refs)[# sks1]) ⊦ r = jvmref, junkref(str, r, st), ∃ refs. validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ # refs = 1 + # sks0 ∧ (∀ sks. sks ⊑ sk ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + refs)[# sks])

User applied rule exists right

And obtained the following new goals

Proof step 89:
st[r -- sk] = refval(r0), fits(r0, sks0, st), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, junkref(str, r0, st) ∨ validrefs(str, r0 ' + refs, st[r0 -- _type] .type, st) ∧ # refs = # sks0 ∧ (∀ sks1. sks1 ⊑ sks0 ∧ sks1 ≠ [] → st[r0 -- sks1] .refval = (r0 ' + refs)[# sks1]) ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r ' + r0 ' + refs, st[r -- _type] .type, st) ∧ # (r0 ' + refs) = 1 + # sks0 ∧ (∀ sks. sks ⊑ sk ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + r0 ' + refs)[# sks])

Rule argument

[EXRARG : pos: right 3, [extquanttermlist: (r0 ' + refs) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r0 ' + refs)]]