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Proof step 32 from proof prepost-create-freelist (previous step)

n < n0 ∧ lpf = LP_FREE ↔ n ∈ freelist, lpt[n] = mklp(m2, m3, lpf, m4), lpt[n0] = mklp(m, m0, LP_FREE, m1), n < # lpt, n0 < # lpt, n ≤ n0 ⊦ lpf = LP_FREE ↔ n ∈ freelist ∨ n = n0, dups(freelist)

User applied rule case distinction

And obtained the following new goals

Proof step 33:
lpt[n0] = mklp(m, m0, LP_FREE, m1), lpt[n] = mklp(m2, m3, lpf, m4), n0 < # lpt, n < # lpt, n ≤ n0 ⊦ lpf = LP_FREE ↔ n ∈ freelist ∨ n = n0, dups(freelist), n ∈ freelist, n < n0 ∧ lpf = LP_FREE

Rule argument

pos: left 1

Proof step 32 from proof prepost-create-freelist (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information