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Proof step 6 from proof junkref-array (previous step)

st[r -- i '] = refval(r0), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), i < st[r -- _length] .intval, junkrefs(str, r0 ' + refs, st[r -- _type] .type .type, st), st[r0 -- _type] .type ≤ st[r -- _type] .type .type ⊦ r0 = jvmref, ∃ refs0. refs0 ≠ [] ∧ refs0 .first = r0 ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 5:
⊦ junkrefs(str, refs, ty0, st) ∧ ty ≤ ty0 → junkrefs(str, refs, ty, st)

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (r0 ' + refs) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ (r ' + refs) .first = r])], [EXTRATERMS : (r0 ' + refs)]]