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Proof step 3 from proof payload-copy-right-lower (previous step)

m + nused0 +1 + n < # zbrar, ∀ m, n, zbrar. m + nused0 + n < # zbrar → payload(copy(zbrar, m + nused0, zbrar, m + nused0 + 1, n), m, nused0) = payload(zbrar, m, nused0) ⊦ payload(copy(zbrar, m + nused0 +1, zbrar, m + nused0 +1 + 1, n), m, nused0 +1) = payload(zbrar, m, nused0 +1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
m + (nused0 + 1) + n < # zbrar, ∀ m, n, zbrar. m + nused0 + n < # zbrar → payload(copy(zbrar, m + nused0, zbrar, m + nused0 + 1, n), m, nused0) = payload(zbrar, m, nused0) ⊦ payload(copy(zbrar, m + nused0 + 1, zbrar, 2 + m + nused0, n), m, nused0 + 1) = payload(zbrar, m, nused0 + 1)

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 +1 = m + 1; (s)