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Proof step 2 from proof payload-copy-right-lower-0 (previous step)

nused + n < # zbrar ⊦ payload(copy(zbrar, nused, zbrar, nused + 1, n), 0, nused) = payload(zbrar, 0, nused)

User applied rule apply lemma

And obtained the following new goals

Proof step 3:
m + nused + n < # zbrar ⊦ payload(copy(zbrar, m + nused, zbrar, m + nused + 1, n), m, nused) = payload(zbrar, m, nused)

Rule argument

spec: <toplevel> name: payload-copy-right-lower seq: m + nused + n < # zbrar ⊦ payload (copy(zbrar, m + nused, zbrar, m + nused + 1, n), m, nused) = payload(zbrar, m, nused) subst: [m, nused, n, zbrar] → [0, nused, n, zbrar]

Additional information

Used simplifier rules: ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s) Used terms: 0, nused, n, zbrar