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Proof step 92 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, ∀ r, st, str. fits(r, sks0, st) → junkref(str, r, st) ∨ (∃ refs. validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ # refs = # sks0 ∧ (∀ sks1. sks1 ⊑ sks0 ∧ sks1 ≠ [] → st[r -- sks1] .refval = (r ' + 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 all left

And obtained the following new goals

Proof step 91:
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, fits(r0, sks0, st) → junkref(str, r0, st) ∨ (∃ refs. 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])

Rule argument

[EXRARG : pos: left 5, [extquanttermlist: (r0, st, str) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r0, st, str)]]