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Proof step 9 from proof validrefs-addobj-notin (previous step)

st[r0 -- mkfs(class0, ty0, fieldvar) '] = refval(r2), validrefs(str, r2 ' + refs, ty0, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), ∀ str0, ty1, st0, r1, class1, fis0. validrefs(str0, r2 ' + refs, ty1, st0) → r1 = r2 ∨ r1 ∈ refs ∨ validrefs(str0, r2 ' + refs, ty1, addobj(r1, class1, fis0, st0)) ⊦ r = r2, r = r0, r0 = jvmref, r ∈ refs, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r2 = st[r0 -- fs '] .refval ∧ validrefs(str, st[r0 -- fs '] .refval ' + refs, fs .type, addobj(r, class, fis, st))

User applied rule exists right

And obtained the following new goals

Proof step 8:
st[r0 -- mkfs(class0, ty0, fieldvar) '] = refval(r2), validrefs(str, r2 ' + refs, ty0, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), ∀ str0, ty1, st0, r1, class1, fis0. validrefs(str0, r2 ' + refs, ty1, st0) → r1 = r2 ∨ r1 ∈ refs ∨ validrefs(str0, r2 ' + refs, ty1, addobj(r1, class1, fis0, st0)) ⊦ r = r2, r = r0, r0 = jvmref, r ∈ refs, mkfs(class0, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- mkfs(class0, ty0, fieldvar) ']) ∧ r2 = st[r0 -- mkfs(class0, ty0, fieldvar) '] .refval ∧ validrefs(str, st[r0 -- mkfs(class0, ty0, fieldvar) '] .refval ' + refs, mkfs(class0, ty0, fieldvar) .type, addobj(r, class, fis, st))

Rule argument

[EXRARG : pos: right 5, [extquanttermlist: (mkfs(class0, ty0, fieldvar)) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkfs(class0, ty0, fieldvar))]]