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Proof step 21 from proof validrefs-junkrefs-append (previous step)

st[r -- i '] = refval(r0), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), junkrefs(str, (r0 ' + refs2) .last ' + refs1, st[(r0 ' + refs2) .last -- _type] .type, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, validrefs(str, r0 ' + refs2, st[r -- _type] .type .type, st), ∀ str0, ty0, st0, refs. validrefs(str0, r0 ' + refs2, ty0, st0) ∧ junkrefs(str0, (r0 ' + refs2) .last ' + refs, st0[(r0 ' + refs2) .last -- _type] .type, st0) → junkrefs(str0, (r0 ' + refs2) + refs, ty0, st0) ⊦ r = jvmref, junkrefs(str, r0 ' + refs2 + refs1, st[r -- _type] .type .type, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 9, [QUANTTERMLIST : (str, st[r -- _type] .type .type, st, refs1)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ junkrefs (str, r ' + refs, st[r -- _type] .type, st) → junkrefs(str, r ' + refs, ty, st)])], [EXTRATERMS : (str, st[r -- _type] .type .type, st, refs1)]]