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Proof step 4 from proof to-vtbl-update-vol (previous step)

⊦ (v0 ∈ to-vtbl(vols -- v)[v, # ebatbl] ↔ v0 ∈ to-vtbl(vols)[v, # ebatbl]) ∧ to-vtbl(vols -- v)[v, # ebatbl][v0] = to-vtbl(vols)[v, # ebatbl][v0]

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 5:
⊦ v0 = v, (v0 ∈ to-vtbl(vols -- v)[v, # ebatbl] ↔ v0 ∈ to-vtbl(vols)[v, # ebatbl]) ∧ to-vtbl(vols -- v)[v, # ebatbl][v0] = to-vtbl(vols)[v, # ebatbl][v0]

Rule argument

fma: v0 = v

Additional information

Used simplifier rules: ⊦ v ∈ vtbl[v, n]; (s)% ⊦ vtbl[v, n][v] = n; (s) Used formulas: v0 = v