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Proof step 47 from proof initsubset-put-statfield-01 (previous step)

init⊆(str, st, st0), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ init⊆(str, st, st0[jvmref -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ init⊆(str, st, st0) ↔ (∀ class. initdone(class, st) → initdone(class, st0)) ∧ (∀ class. initerror(class, st) → initerror(class, st0)) ∧ (∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0)) ∧ (∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0))
Proof step 46:
init⊆(str, st, st0), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ (∀ class0. initdone(class0, st) → initdone(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ (∀ class0. initerror(class0, st) → initerror(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ (∀ class0. ¬ initdone(class0, st) ∧ initdone(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]) ∧ tdname∃(str, class0) → validstatfields(str, statfields(class0), st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ (∀ class0, sk. initdone(class0, st) ∧ initdone(class0, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]) ∧ tdname∃(str, class0) ∧ sk ∈ statfields(class0) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]))

Rule argument

[crewrite-arg: initsubset-def , F , [st0, st, str] → [st0[jvmref -- mkfs(class, ty, fieldvar) ', val], st, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0[jvmref -- mkfs(class, ty, fieldvar) ', val], st, str)]]