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

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

User applied rule structural induction

And obtained the following new goals

Proof step 3:
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)

Rule argument

indvar: nused

Additional information

Used simplifier rules: payload-base: ⊦ payload(zbrar, m, 0) = ∅;%nat freely generated by 0, +1;;% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic