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Proof step 18 from proof abs-istore-reduce-write (previous step)

# lpt = # avol, istore[n, indexblock(indx, lax, m)][n0] = indexblock(indx1, lax1, m7), lpt[n] = mklp(m4, m5, lpf0, m6), istore[n] = indexblock(indx0, lax0, m3), lpt[n, mklp(m0, m1, lpf, m2)][n0] = mklp(m8, m9, lpf1, m10), n < # avol, (lpf0 = LP_INDEX_NODES → m4 = m3) → m0 = m ∧ lpf = LP_INDEX_NODES, (lpf0 = LP_INDEX_NODES → abs-leb(avol[n], indexblock(indx0, lax0, m3), mklp(m4, m5, LP_INDEX_NODES, m6))) → abs-leb(aleb, indexblock(indx, lax, m), mklp(m0, m1, lpf, m2)), ∀ n. (n < # avol ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore) ∧ (n ∈ istore → abs-leb(avol[n], istore[n], lpt[n]) ∧ lpt[n].ref-size = istore[n].ref-size) ⊦ (n0 < # avol ∧ lpf1 = LP_INDEX_NODES ↔ n0 ∈ istore[n, indexblock(indx, lax, m)]) ∧ (n0 ∈ istore[n, indexblock(indx, lax, m)] → abs-leb(avol[n, aleb][n0], indexblock(indx1, lax1, m7), mklp(m7, m9, lpf1, m10)) ∧ m8 = m7)

User applied rule all left

And obtained the following new goals

Rule argument

pos: left 9 terms: n0 abort: F discard: T computed: T

Additional information

Used terms: n0