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Proof step 6 from proof freelist-cons-write-lpt-other (previous step)

lpt[n] = mklp(m0, m1, lpf, m2), lpt[n, mklp(n0, n1, lpf, n2)][n] = mklp(m, m3, lpf0, m4), ∀ n. n < # lpt ∧ lpt[n].flags = LP_FREE ↔ n ∈ freelist ⊦ n < # lpt ∧ lpf0 = LP_FREE ↔ n ∈ freelist, dups(freelist)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 7:
lpt[n, mklp(n0, n1, lpf, n2)][n] = mklp(m, m3, lpf0, m4), lpt[n] = mklp(m0, m1, lpf, m2), n < # lpt, ∀ n. n < # lpt ∧ lpt[n].flags = LP_FREE ↔ n ∈ freelist ⊦ n < # lpt ∧ lpf0 = LP_FREE ↔ n ∈ freelist, dups(freelist)
Proof step 9:
lpt[n, mklp(n0, n1, lpf, n2)][n] = mklp(m, m3, lpf0, m4), lpt[n] = mklp(m0, m1, lpf, m2), ∀ n. n < # lpt ∧ lpt[n].flags = LP_FREE ↔ n ∈ freelist ⊦ n < # lpt ∧ lpf0 = LP_FREE ↔ n ∈ freelist, n < # lpt, dups(freelist)

Rule argument

fma: n < # lpt

Additional information

Used formulas: n < # lpt