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Proof step 14 from proof ac-lookup (previous step)

fs = mkfs(class, ty0, fieldvar0), mkfs(class1, ty, fieldvar) ' ∈ fis0, ∀ class1, ty, fieldvar, st. mkfs(class1, ty, fieldvar) ' ∈ fis0 → (addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ']) = fis0[mkfs(class1, ty, fieldvar) '] ⊦ (addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ']) = ((fs ' × val) ' + fis0)[mkfs(class1, ty, fieldvar) '], class = class1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
mkfs(class1, ty, fieldvar) ' ∈ fis0, ∀ class1, ty, fieldvar, st. mkfs(class1, ty, fieldvar) ' ∈ fis0 → (addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ']) = fis0[mkfs(class1, ty, fieldvar) '] ⊦ class = class1, (addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ']) = fis0[mkfs(class1, ty, fieldvar) ']

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : class1 ≠ class2 ⊦ ( ( mkfs(class1, ty, fieldvar) ' × val ) ' + fis )[mkfs(class2, ty0, fieldvar0) '] = fis[mkfs(class2, ty0, fieldvar0) ']])]]