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Proof step 12 from proof addclass-switch-01 (previous step)

sk0 = fs ', fs = mkfs(class, ty, fieldvar), is_fskey(sk0), ∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ addclass(class, (sk0 × val0) ' + fis0, st[r -- sk, val]) = (addclass(class, (sk0 × val0) ' + fis0, st)[r -- sk, val]), r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ addclass(class1, (mkfs(class1, ty, fieldvar) ' × val) ' + fis, st) = (addclass(class1, fis, st)[jvmref -- mkfs(class1, ty, fieldvar) ', val])
Proof step 11:
∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ r = jvmref, (addclass(class, fis0, st[r -- sk, val])[jvmref -- mkfs(class, ty, fieldvar) ', val0]) = (addclass(class, fis0, st)[jvmref -- mkfs(class, ty, fieldvar) ', val0][r -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1])]]