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Proof step 5 from proof lpt-leb-size-write (previous step)

∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE ⊦ (∀ n0. n0 < # lpt → lpt[n, mklp(m, m0, lpf, m1)][n0].size ≤ LEB_SIZE) ↔ # lpt ≤ n ∨ m0 ≤ LEB_SIZE

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 6:
# lpt ≤ n, ∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE ⊦ (∀ n0. n0 < # lpt → lpt[n, mklp(m, m0, lpf, m1)][n0].size ≤ LEB_SIZE) ↔ # lpt ≤ n ∨ m0 ≤ LEB_SIZE
Proof step 9:
∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE ⊦ (∀ n0. n0 < # lpt → lpt[n, mklp(m, m0, lpf, m1)][n0].size ≤ LEB_SIZE) ↔ # lpt ≤ n ∨ m0 ≤ LEB_SIZE, # lpt ≤ n

Rule argument

fma: # lpt ≤ n

Additional information

Used formulas: # lpt ≤ n