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Proof step 6 from proof encode-contract (previous step)

buf0 = buf, m = ENCODED_ELEM_ALIGNMENT, n + size-aligned(a, ENCODED_ELEM_ALIGNMENT) ≤ # buf ⊦ n + encoding-size(a) ≤ # buf ∧ buf = buf

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
size-aligned(a, ENCODED_ELEM_ALIGNMENT) < encoding-size(a), # buf < n + encoding-size(a), n + size-aligned(a, ENCODED_ELEM_ALIGNMENT) ≤ # buf ⊦

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)