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

fs = mkfs(class0, ty, fieldvar), ∀ class, st, r, i, val. addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]) ⊦ addclass(class0, (fs ' × val0) ' + fis0, st[r -- i ', val]) = (addclass(class0, (fs ' × val0) ' + fis0, st)[r -- i ', val])

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:
∀ class, st, r, i, val. addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]) ⊦ (addclass(class0, fis0, st[r -- i ', val])[jvmref -- mkfs(class0, ty, fieldvar) ', val0]) = (addclass(class0, fis0, st)[jvmref -- mkfs(class0, ty, fieldvar) ', val0][r -- i ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1])]]