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Proof step 46 from proof prepost-create-freelist (previous step)

lpt[n0] = mklp(m, m0, lpf, m1), subarray(lpt, 0, n0 + 1)[n] = mklp(m2, m3, lpf0, m4), n0 < # lpt, ∀ n1. n1 < n0 ∧ lpt[n1].flags = LP_FREE ↔ n1 ∈ freelist ⊦ ¬ n0 < n ∧ lpf0 = LP_FREE ↔ n ∈ freelist, lpf = LP_FREE, dups(freelist)

User applied rule all left

And obtained the following new goals

Proof step 47:
n < n0 ∧ lpt[n].flags = LP_FREE ↔ n ∈ freelist, subarray(lpt, 0, n0 + 1)[n] = mklp(m2, m3, lpf0, m4), lpt[n0] = mklp(m, m0, lpf, m1), n0 < # lpt ⊦ ¬ n0 < n ∧ lpf0 = LP_FREE ↔ n ∈ freelist, lpf = LP_FREE, dups(freelist)

Rule argument

pos: left 4 terms: n abort: F discard: T computed: T

Additional information

Used terms: n