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Proof step 9 from proof ac-in-03 (previous step)

¬ is_indexkey((sk × val) .1), sk .fs = mkfs(class0, ty, fieldvar), jvmref -- _type ∈ addclass(class1, (sk × val) ' + fis0, st), jvmref ∈ addclass(class1, (sk × val) ' + fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ _type = sk, _type ∈ fis0, jvmref -- _type ∈ st, ¬ is_indexkey(sk) ∧ class0 ≠ class1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
sk .fs = mkfs(class1, ty, fieldvar), is_fskey(sk), jvmref ∈ addclass(class1, (sk × val) ' + fis0, st), jvmref -- _type ∈ addclass(class1, (sk × val) ' + fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ _type = sk, jvmref -- _type ∈ st, _type ∈ fis0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ (sk × val) .1 = sk])]]