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Proof step 6 from proof update-at (previous step)

∀ r, r0, st, sk. r = r0 ∨ (update(r0, fis0, st)[r -- sk]) = st[r -- sk] ⊦ r = r0, (update(r0, fv + fis0, st)[r -- sk]) = st[r -- sk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
∀ r, r0, st, sk. r = r0 ∨ (update(r0, fis0, st)[r -- sk]) = st[r -- sk] ⊦ r = r0, (update(r0, fv ' + fis0, st)[r -- sk]) = st[r -- sk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ fv + fis = fv ' + fis])]]