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Proof step 58 from proof validrefs-not-contains (previous step)

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), st[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st), type∃(str, st[r1 -- _type] .type), st[r1 -- _type] .type ≤ ty1, is_valid_ref(str, r1, st), tdname+∃(str, class0), validrefs(str, r1 ' + refs0 + r1 ', ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), class0 ≤ class1 ⊦ r = jvmref, r = r1, r1 = jvmref, ∃ fs. fs ' ∈ instfields(class0) ∧ st[r1 -- _type] .type ≤ fs .type

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 4, [QUANTTERMLIST : (mkfs(class, ty1, fieldvar))]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (mkfs(class, ty1, fieldvar))]]