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Proof step 3 from proof cleanup-lpt-n-read-above (previous step)

n < # lpt, m < # lpt, n ≤ m ⊦ cleanup-lpt(lpt, n)[m] = lpt[m]

User applied rule structural induction

And obtained the following new goals

Proof step 4:
m < # lpt, n0 +1 < # lpt, n0 +1 ≤ m, ∀ lpt, m. n0 < # lpt ∧ m < # lpt ∧ n0 ≤ m → cleanup-lpt(lpt, n0)[m] = lpt[m] ⊦ cleanup-lpt(lpt, n0 +1)[m] = lpt[m]

Rule argument

indvar: n

Additional information

Used simplifier rules: cleanup-lpt-base: ⊦ cleanup-lpt(lpt, 0) = lpt;%nat freely generated by 0, +1;;