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Proof step 37 from proof validrefs-levelsubset-01 (previous step)

st[r -- i '] = refval(r0), validrefs(str0, r0 ' + refs, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty0, level⊆(str, str0), is_array(str0, r, st), is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, st[r0 -- _type] .type ≤ st[r -- _type] .type .type, validref(str, r0, st[r -- _type] .type .type, st), ∀ str1, str2, ty1, st0, ty2. level⊆(str1, str2) ∧ validrefs(str2, r0 ' + refs, ty1, st0) ∧ validref(str1, r0, ty2, st0) → validrefs(str1, r0 ' + refs, ty1, st0) ⊦ r = jvmref, r0 = jvmref, validrefs(str, r0 ' + refs, st[r -- _type] .type .type, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 13, [QUANTTERMLIST : (str, str0, st[r -- _type] .type .type, st, st[r -- _type] .type .type)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, str0, st[r -- _type] .type .type, st, st[r -- _type] .type .type)]]