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Proof step 20 from proof ac-in (previous step)

fv = sk × val, ∀ 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, fv ' + fis0, st) ↔ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st ∨ mkfs(class1, ty, fieldvar) ' ∈ fv ' + fis0 ∨ ty = void_type ∧ fieldvar = `initstate' .field, is_fskey(sk) ∧ sk .fs .class ≠ class1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
∀ 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, (sk × val) ' + fis0, st) ↔ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st ∨ mkfs(class1, ty, fieldvar) ' = sk ∨ mkfs(class1, ty, fieldvar) ' ∈ fis0 ∨ ty = void_type ∧ fieldvar = `initstate' .field, is_fskey(sk) ∧ sk .fs .class ≠ class1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ sk ∈ (sk0 × val) ' + fis ↔ sk = sk0 ∨ sk ∈ fis])]]