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Proof step 8 from proof ac-del-01 (previous step)

¬ jvmref -- sk ≠ jvmref -- mkfs(class, ty, fieldvar) ', ∀ class1, sk, val0, st, val. (addclass(class1, fis0 + (sk × val0) ', st)[jvmref -- sk, val]) = (addclass(class1, fis0, st)[jvmref -- sk, val]) ⊦ (addclass(class, fis0 + (sk × val0) ', st)[jvmref -- mkfs(class, ty, fieldvar) ', val1][jvmref -- sk, val]) = (addclass(class, fis0, st)[jvmref -- mkfs(class, ty, fieldvar) ', val1][jvmref -- sk, val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
∀ class1, sk, val0, st, val. (addclass(class1, fis0 + (sk × val0) ', st)[jvmref -- sk, val]) = (addclass(class1, fis0, st)[jvmref -- sk, val]) ⊦ (addclass(class, fis0 + (mkfs(class, ty, fieldvar) ' × val0) ', st)[jvmref -- mkfs(class, ty, fieldvar) ', val]) = (addclass(class, fis0, st)[jvmref -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[rk, val][rk, val0]) = st[rk, val0]], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])]]