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Proof step 2 from proof lpt-leb-size-write (previous step)

lpt-leb-size(lpt) ⊦ lpt-leb-size(lpt[n, lp]) ↔ # lpt ≤ n ∨ lp.size ≤ LEB_SIZE

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE ⊦ (∀ n0. n0 < # lpt → lpt[n, lp][n0].size ≤ LEB_SIZE) ↔ # lpt ≤ n ∨ lp.size ≤ LEB_SIZE

Rule argument

Additional information

Used simplifier rules: lpt-leb-size: ⊦ lpt-leb-size(lpt) ↔ (∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE);% ⊦ # lpt[n, lp] = # lpt; (s)