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Proof step 2 from proof to-vtbl-update (previous step)

v ∈ vols ⊦ to-vtbl(vols[v, vols[v][m, ebae]]) = to-vtbl(vols)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
v ∈ vols ⊦ to-vtbl(vols -- v)[v, # vols[v]] = to-vtbl(vols)

Rule argument

Additional information

Used simplifier rules: to-vtbl-rec: ⊦ to-vtbl(vols[v, ebatbl]) = to-vtbl(vols -- v)[v, # ebatbl];% ⊦ # ebatbl[n, ebae] = # ebatbl; (s)