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Proof step 9 from proof ac-in (previous step)

∀ class1, ty, fieldvar, st. jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class1, fis0, st) ↔ ty = void_type ∧ fieldvar = `initstate' .field ∨ mkfs(class1, ty, fieldvar) ' ∈ fis0 ∨ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st ⊦ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ (addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty0, fieldvar0) ', val]) ↔ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st ∨ ty = ty0 ∧ fieldvar = fieldvar0 ∨ mkfs(class1, ty, fieldvar) ' ∈ fis0 ∨ ty = void_type ∧ fieldvar = `initstate' .field

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st
Proof step 8:
∀ class1, ty, fieldvar, st. jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class1, fis0, st) ↔ ty = void_type ∧ fieldvar = `initstate' .field ∨ mkfs(class1, ty, fieldvar) ' ∈ fis0 ∨ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st ⊦ jvmref -- mkfs(class1, ty, fieldvar) ' = jvmref -- mkfs(class1, ty0, fieldvar0) ' ∨ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class1, fis0, st) ↔ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st ∨ ty = ty0 ∧ fieldvar = fieldvar0 ∨ mkfs(class1, ty, fieldvar) ' ∈ fis0 ∨ ty = void_type ∧ fieldvar = `initstate' .field

Rule argument

[speclemmaarg: ,rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st ,[val, rk0, st, rk] → [val, jvmref -- mkfs(class1, ty0, fieldvar0) ', addclass(class1, fis0, st), jvmref -- mkfs(class1, ty, fieldvar) '] ,F ,store ,javastore ,In-insert ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, jvmref -- mkfs(class1, ty0, fieldvar0) ', addclass(class1, fis0, st), jvmref -- mkfs(class1, ty, fieldvar) ')]]