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Proof step 9 from proof validrefs-prefix (previous step)

st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), validrefs(str, (r0 ' + refs) + refs0, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), ∀ str0, refs1, ty1, st0. validrefs(str0, (r0 ' + refs) + refs1, ty1, st0) → validrefs(str0, r0 ' + refs, ty1, st0) ⊦ r = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r0 = st[r -- fs '] .refval ∧ validrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 8:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), validrefs(str, (r0 ' + refs) + refs0, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), ∀ str0, refs1, ty1, st0. validrefs(str0, (r0 ' + refs) + refs1, ty1, st0) → validrefs(str0, r0 ' + refs, ty1, st0) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ']) ∧ r0 = st[r -- mkfs(class, ty0, fieldvar) '] .refval ∧ validrefs(str, st[r -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, mkfs(class, ty0, fieldvar) .type, st)

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (mkfs(class, ty0, fieldvar)) abort:F , discard:T , computed:T ]]

Additional information

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