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Proof step 3 from proof payload-drop-lower (previous step)

m + n + nused ≤ # zbrar ⊦ n = 0, payload(zbrar[m, zbr], m + n, nused) = payload(zbrar, m + n, nused)

User applied rule structural induction

And obtained the following new goals

Proof step 4:
m + n + nused0 +1 ≤ # zbrar, ∀ m, n, zbrar, zbr. m + n + nused0 ≤ # zbrar → n = 0 ∨ payload(zbrar[m, zbr], m + n, nused0) = payload(zbrar, m + n, nused0) ⊦ n = 0, payload(zbrar[m, zbr], m + n, nused0 +1) = payload(zbrar, m + n, nused0 +1)

Rule argument

indvar: nused

Additional information

Used simplifier rules: payload-base: ⊦ payload(zbrar, m, 0) = ∅;%nat freely generated by 0, +1;;