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Proof step 8 from proof addobj-union-switch (previous step)

fv = sk × val, ∀ r, r0, class, fis, st. r = r0 ∨ addobj(r, class, fis, update(r0, fis1, st)) = update(r0, fis1, addobj(r, class, fis, st)) ⊦ r = r0, addobj(r, class, fis, update(r0, fis1, st)[r0 -- sk, val]) = update(r0, fv ' + fis1, addobj(r, class, fis, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
∀ r, r0, class, fis, st. r = r0 ∨ addobj(r, class, fis, update(r0, fis1, st)) = update(r0, fis1, addobj(r, class, fis, st)) ⊦ r = r0, addobj(r, class, fis, update(r0, fis1, st)[r0 -- sk, val]) = update(r0, (sk × val) ' + fis1, addobj(r, class, fis, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]