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Proof step 7 from proof is-encoded-rec-size (previous step)

is-encoded-rec(vtbl, buf), ∀ vtbl0, buf. # vtbl0 < # vtbl → is-encoded-rec(vtbl0, buf) → # buf = # vtbl0 * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) ⊦ # buf = # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), ∀ v. (v ∈ vtbl ↔ v ∈ ∅) ∧ vtbl[v] = (∅)[v]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
is-encoded-rec(vtbl, buf), v ∈ vtbl, ∀ vtbl0, buf. # vtbl0 < # vtbl → is-encoded-rec(vtbl0, buf) → # buf = # vtbl0 * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) ⊦ # buf = # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ v ∈ vtbl → vtbl[v] = (∅)[v]; (s)% ⊦ ¬ v ∈ ∅; (s)