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Proof step 46 from proof validrefs-subset-01 (previous step)

st[r0 -- i '] = refval(r), r0 -- i ' ∈ st, r0 -- _length ∈ st, r0 -- _type ∈ st, validrefs(str, r ' + refs, st[r0 -- _type] .type .type, st), i < st[r0 -- _length] .intval, st ⊆ st0, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, 0 < st[r0 -- _length] .intval, 0 ≤ i, r0 ∈ st, st[r -- _type] .type ≤ st[r0 -- _type] .type .type, ∀ str0, ty0, st1, st2. validrefs(str0, r ' + refs, ty0, st1) ∧ st1 ⊆ st2 ∧ ¬ junkref(str0, r, st1) → validrefs(str0, r ' + refs, ty0, st2) ⊦ r0 = jvmref, r = jvmref, validrefs(str, r ' + refs, st[r0 -- _type] .type .type, st0), junkref(str, r, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 14, [QUANTTERMLIST : (str, st[r0 -- _type] .type .type, st, st0)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, st[r0 -- _type] .type .type, st, st0)]]