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Proof step 2 from proof is-encoded-split-one (previous step)

is-encoded(ns, buf0), is-encoded(n, buf1) ⊦ is-encoded(ns1, buf0 + buf1) ↔ ns1 = ns ++ n, n ∈ ns

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# buf0 = # ns * ENCODED_NAT_SIZE, # buf1 = ENCODED_NAT_SIZE, is-encoded(n, buf1), is-encoded(ns, buf0) ⊦ is-encoded(ns1, buf0 + buf1) ↔ ns1 = ns ++ n, n ∈ ns

Rule argument

Additional information

Used simplifier rules: is-encoded-size: ⊦ is-encoded(ns, buf) → # buf = # ns * ENCODED_NAT_SIZE;%is-encoded-size: ⊦ is-encoded(n, buf) → # buf = ENCODED_NAT_SIZE; (forward) from specification encoding-fixed-size[encoding-nat]