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Proof step 30 from proof same-subclasses-class-forward (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), tdname+∃(str0, st[r -- _type] .type .class), is_obj(str0, r, st), has_classtype(st[r0 -- _type] .type), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), same-subclasses(st[r -- _type] .type .class, str, str0), is_obj(str, r, st), is_obj(r, st), st[r0 -- _type] .type ≤ ty, is_valid_ref(str0, r0, st), ∀ class0. contains(str0, mkclasstype(st[r -- _type] .type .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ st[r0 -- _type] .type ≤ fs .type, r = jvmref, r0 = jvmref, contains(str0, mkclasstype(st[r -- _type] .type .class), st[r0 -- _type] .type .jtelemtype), junkref(str0, r0, st), same-subclasses(st[r0 -- _type] .type .jtelemtype .class, str, str0) ∧ (contains(str0, st[r0 -- _type] .type .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0)), ∃ ty1, ty2. ty1 ≤ mkclasstype(st[r -- _type] .type .class) ∧ type∃(str0, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty2 ≤ ty1 .type) ∧ contains(str0, ty2, st[r0 -- _type] .type)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 1, [QUANTTERMLIST : (mkfs(class, ty, fieldvar))]]

Additional information

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