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Proof step 3 from proof is-encoded-size (previous step)

is-encoded(nx, buf) ⊦ # buf = # nx * EB_PAGE_SIZE

User applied rule structural induction

And obtained the following new goals

Proof step 4:
is-encoded(m + nx0, buf), ∀ buf. is-encoded(nx0, buf) → # buf = # nx0 * EB_PAGE_SIZE ⊦ # buf = #(m + nx0) * EB_PAGE_SIZE

Rule argument

indvar: nx

Additional information

Used simplifier rules: is-encoded-base: ⊦ is-encoded([], buf) ↔ buf = mkbuf(0);%nat-list freely generated by [], +;;% ⊦ # [] = 0; (s)% ⊦ 0 * n = 0; (s)%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult% ⊦ # mkbuf(n) = n; (s)