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Proof step 54 from proof compat-put (previous step)

sk .fs = mkfs(class1, ty0, fieldvar0), sk ∈ statfields(class0), compatmode(str, st), compatrefs(str, st), compat(str, val, ty, st), initdone(class0, st), compatfields(str, jvmref, statfields(class0), st), class∃(str, class0) ∨ interface∃(str, class0), jvmref ≠ r ∨ sk ≠ mkfs(class, ty, fieldvar) ' ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, r -- mkfs(class, ty, fieldvar) ' = _uninit, (jvmref = r ∧ sk = mkfs(class, ty, fieldvar) ' ∨ jvmref -- sk ∈ st) ∧ ¬ is_indexkey(sk) ∧ compat(str, st[r -- mkfs(class, ty, fieldvar) ', val][jvmref -- sk], ty0, st[r -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 40:
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]
Proof step 53:
jvmref -- sk ≠ r -- mkfs(class, ty, fieldvar) ', sk .fs = mkfs(class1, ty0, fieldvar0), sk ∈ statfields(class0), compatmode(str, st), compatrefs(str, st), compat(str, val, ty, st), initdone(class0, st), compatfields(str, jvmref, statfields(class0), st), class∃(str, class0) ∨ interface∃(str, class0), jvmref ≠ r ∨ sk ≠ mkfs(class, ty, fieldvar) ' ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, r -- mkfs(class, ty, fieldvar) ' = _uninit, (jvmref = r ∧ sk = mkfs(class, ty, fieldvar) ' ∨ jvmref -- sk ∈ st) ∧ ¬ is_indexkey(sk) ∧ compat(str, st[jvmref -- sk], ty0, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [jvmref -- sk, val, r -- mkfs(class, ty, fieldvar) ', st] ,F ,store ,javastore ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ r -- fs ' = _uninit ↔ r = jvmref ∧ fs = mkfs (`java.lang.Object' .class, void_type, `uninit' .field)], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)])], [EXTRATERMS : (jvmref -- sk, val, r -- mkfs(class, ty, fieldvar) ', st)]]