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Proof step 12 from proof ac-del (previous step)

jvmref -- sk ≠ jvmref -- mkfs(class, ty, fieldvar) ', ∀ class1, sk, val0, fis1, st, val. (addclass(class1, fis0 + (sk × val0) ' + fis1, st)[jvmref -- sk, val]) = (addclass(class1, fis0 + fis1, st)[jvmref -- sk, val]) ⊦ (addclass(class, fis0 + (sk × val0) ' + fis1, st)[jvmref -- sk, val][jvmref -- mkfs(class, ty, fieldvar) ', val1]) = (addclass(class, fis0 + fis1, st)[jvmref -- mkfs(class, ty, fieldvar) ', val1][jvmref -- sk, val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
∀ class1, sk, val0, fis1, st, val. (addclass(class1, fis0 + (sk × val0) ' + fis1, st)[jvmref -- sk, val]) = (addclass(class1, fis0 + fis1, st)[jvmref -- sk, val]) ⊦ (addclass(class, fis0 + (sk × val0) ' + fis1, st)[jvmref -- sk, val][jvmref -- mkfs(class, ty, fieldvar) ', val1]) = (addclass(class, fis0 + fis1, st)[jvmref -- mkfs(class, ty, fieldvar) ', val1][jvmref -- sk, val]), sk = mkfs(class, ty, fieldvar) '

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]