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Proof step 9 from proof validstatfields-put-norefval-field-better (previous step)

okval(val, ty), sk ∈ statfields(class0), initdone(class0, st[r -- mkfs(class, ty, fieldvar) ', val]), tdname∃(str, class0), initdone(class0, st) → validstatfield(str, sk, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, validstatfield(str, sk, st[r -- mkfs(class, ty, fieldvar) ', val]), is_referencevalue(val)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ rk ≠ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∧ rk ≠ _uninit → (initdone(class, st[rk, val]) ↔ initdone(class, st))
Proof step 5:
¬ (r -- mkfs(class, ty, fieldvar) ' ≠ jvmref -- mkfs(class0, void_type, `initstate' .field) ' ∧ r -- mkfs(class, ty, fieldvar) ' ≠ _uninit), okval(val, ty), sk ∈ statfields(class0), initdone(class0, st[r -- mkfs(class, ty, fieldvar) ', val]), tdname∃(str, class0), initdone(class0, st) → validstatfield(str, sk, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, validstatfield(str, sk, st[r -- mkfs(class, ty, fieldvar) ', val]), is_referencevalue(val)
Proof step 8:
r -- mkfs(class, ty, fieldvar) ' ≠ jvmref -- mkfs(class0, void_type, `initstate' .field) ' ∧ r -- mkfs(class, ty, fieldvar) ' ≠ _uninit, okval(val, ty), sk ∈ statfields(class0), initdone(class0, st), tdname∃(str, class0), initdone(class0, st) → validstatfield(str, sk, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, validstatfield(str, sk, st[r -- mkfs(class, ty, fieldvar) ', val]), is_referencevalue(val)

Rule argument

[x0lemmaarg: spec-name: storefuns instance-name: lemma-name: init-put-04 antecedent: succedent: rk ≠ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∧ rk ≠ _uninit → (initdone(class, st[rk, val]) ↔ initdone(class, st)) substlist: [val, rk, st, class] → [val, r -- mkfs(class, ty, fieldvar) ', st, class0] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, r -- mkfs(class, ty, fieldvar) ', st, class0)]]