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Proof step 28 from proof ac-mode-01 (previous step)

∀ class, st. (addclass(class, fis0, st)[_mode]) = st[_mode] ∨ mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ fis0 ⊦ (addclass(class, fv + fis0, st)[_mode]) = st[_mode], mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ fv + fis0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
∀ class0, st0. (addclass(class0, fis0, st0)[_mode]) = st0[_mode] ⊦ (addclass(class, fv ' + fis0, st)[_mode]) = st[_mode], mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ fv ', mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ fis0

Rule argument

[emptyarg]

Additional information

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