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Proof step 51 from proof validrefs-set-null (previous step)

acc .first = st[r -- i '] .refval, fs ' ∈ instfields(st[acc .last -- _type] .type .class), is_obj(str, acc .last, st), is_reftype(fs .type), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, acc + refs0, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ str0, refs, ty0, st0, fs0. validrefs(str0, acc + refs, ty0, st0) ∧ is_obj(str0, acc .last, st0) ∧ fs0 ' ∈ instfields(st0[acc .last -- _type] .type .class) ∧ is_reftype(fs0 .type) ∧ refs ≠ [] → validrefs(str0, acc + jvmref ', ty0, st0[acc .last -- fs0 ', refval(jvmref)]) ⊦ acc = [], r = jvmref, refs0 = [], r = acc .last, r ∈ acc, dups(acc), validrefs(str, acc + jvmref ', st[r -- _type] .type .type, st[acc .last -- fs ', refval(jvmref)])

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 12, [extquanttermlist: (str, refs0, st[r -- _type] .type .type, st, fs) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, refs0, st[r -- _type] .type .type, st, fs)]]