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Proof step 9 from proof freelist-cons-remove-wbufs (previous step)

(n ∈ ns ∧ n < # lpt ⊃ mklp(m2, LEB_SIZE, lpf0, m4);mklp(m2, m3, lpf0, m4)) = mklp(m, m0, lpf, m1), n < # lpt ∧ lpf0 = LP_FREE ↔ n ∈ freelist, lpt[n] = mklp(m2, m3, lpf0, m4) ⊦ n < # lpt ∧ lpf = LP_FREE ↔ n ∈ freelist, dups(freelist)

Heuristic if-then-else split applied rule case distinction

And closed the goal!

Rule argument

pos: left 1

Additional information

Used simplifier rules: ⊦ mklp(m, m0, lpf, m1) = mklp(m2, m3, lpf0, m4) ↔ m = m2 ∧ m0 = m3 ∧ lpf = lpf0 ∧ m1 = m4; (ws)