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

st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r1), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), validrefs(str, r1 ' + refs, ty1, st[r -- sk, val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), ∀ str0, ty0, st0, r2, sk0, val0. (validrefs(str0, r1 ' + refs, ty0, st0[r2 -- sk0, val0]) ↔ validrefs(str0, r1 ' + refs, ty0, st0)) ∨ r2 = r1 ∨ r2 ∈ refs ⊦ r = r1, r0 = jvmref, r = r0, r ∈ refs, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ r1 = st[r0 -- fs0 '] .refval ∧ validrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 8:
st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r1), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), validrefs(str, r1 ' + refs, ty1, st[r -- sk, val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), ∀ str0, ty0, st0, r2, sk0, val0. (validrefs(str0, r1 ' + refs, ty0, st0[r2 -- sk0, val0]) ↔ validrefs(str0, r1 ' + refs, ty0, st0)) ∨ r2 = r1 ∨ r2 ∈ refs ⊦ r = r1, r0 = jvmref, r = r0, r ∈ refs, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- mkfs(class, ty1, fieldvar) ']) ∧ r1 = st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ∧ validrefs(str, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, mkfs(class, ty1, fieldvar) .type, st)

Rule argument

[EXRARG : pos: right 5, [extquanttermlist: (mkfs(class, ty1, fieldvar)) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkfs(class, ty1, fieldvar))]]