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Proof step 145 from proof encode (previous step)

# buf2 = # vtbl0 * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), # buf0 = ENCODED_NAT_SIZE, # buf4 = (# buf2 + # buf3) + ENCODED_NAT_SIZE, # buf = # buf4, subarray(buf4, ENCODED_NAT_SIZE, # buf2 + # buf3) = subarray(buf, ENCODED_NAT_SIZE, # buf2 + # buf3), is-encoded(#(vtbl ∪ vtbl0), buf0), is-encoded-rec(vtbl0, buf2), # vtbl * (ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE) ≤ # buf3, #(vtbl ∪ vtbl0) * (ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE) ≤ # buf2 + # buf3, vtbl ⊥ vtbl0, err0 = ESUCCESS → is-encoded(#(vtbl ∪ vtbl0), subarray(buf4, 0, ENCODED_NAT_SIZE)) ∧ n1 = ENCODED_NAT_SIZE, err0 = ESUCCESS ∨ ⌊err0⌋ ⊦ ∀ v. (v ∈ vtbl ↔ v ∈ ∅) ∧ vtbl[v] = (∅)[v], ∃ v. v ∈ vtbl

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 146:
# buf = # buf4, # buf4 = (# buf2 + # buf3) + ENCODED_NAT_SIZE, # buf0 = ENCODED_NAT_SIZE, # buf2 = # vtbl0 * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), subarray(buf4, ENCODED_NAT_SIZE, # buf2 + # buf3) = subarray(buf, ENCODED_NAT_SIZE, # buf2 + # buf3), is-encoded(#(vtbl ∪ vtbl0), buf0), is-encoded-rec(vtbl0, buf2), v ∈ vtbl, #(vtbl ∪ vtbl0) * (ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE) ≤ # buf2 + # buf3, # vtbl * (ENCODED_NAT_SIZE + ENCODED_VOLID_SIZE) ≤ # buf3, vtbl ⊥ vtbl0, err0 = ESUCCESS → is-encoded(#(vtbl ∪ vtbl0), subarray(buf4, 0, ENCODED_NAT_SIZE)) ∧ n1 = ENCODED_NAT_SIZE, err0 = ESUCCESS ∨ ⌊err0⌋ ⊦ v ∈ vtbl0, ∃ v. v ∈ vtbl

Rule argument

Additional information

Used simplifier rules: disjoint-in-left: ⊦ v ∈ vtbl ∧ vtbl ⊥ vtbl0 → ¬ v ∈ vtbl0; (forward) from specification store-union[vtbl]% ⊦ ¬ v ∈ vtbl → vtbl[v] = (∅)[v]; (s)% ⊦ ¬ v ∈ ∅; (s)