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Proof step 8 from proof abs-istore-idcircle (previous step)

# avol0 = # avol1, # lpt = # avol1, lpt[n] = mklp(m0, m1, lpf, m2), lpt[n0] = mklp(m, m3, lpf0, m4), n < # avol1, ∀ m. m < # avol1 ∧ m ≠ n → avol0[m] = avol1[m], ∀ n. (n < # avol1 ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore) ∧ (n ∈ istore → abs-leb(avol0[n], istore[n], lpt[n]) ∧ lpt[n].ref-size = istore[n].ref-size) ⊦ lpf = LP_INDEX_NODES, (n0 < # avol1 ∧ lpf0 = LP_INDEX_NODES ↔ n0 ∈ istore) ∧ (n0 ∈ istore → abs-leb(avol1[n0], istore[n0], mklp(istore[n0].ref-size, m3, lpf0, m4)) ∧ m = istore[n0].ref-size)

User applied rule all left

And obtained the following new goals

Proof step 9:
# lpt = # avol1, # avol0 = # avol1, lpt[n0] = mklp(m, m3, lpf0, m4), lpt[n] = mklp(m0, m1, lpf, m2), n < # avol1, n0 < # avol1 ∧ n0 ≠ n → avol0[n0] = avol1[n0], ∀ n. (n < # avol1 ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore) ∧ (n ∈ istore → abs-leb(avol0[n], istore[n], lpt[n]) ∧ lpt[n].ref-size = istore[n].ref-size) ⊦ lpf = LP_INDEX_NODES, (n0 < # avol1 ∧ lpf0 = LP_INDEX_NODES ↔ n0 ∈ istore) ∧ (n0 ∈ istore → abs-leb(avol1[n0], istore[n0], mklp(istore[n0].ref-size, m3, lpf0, m4)) ∧ m = istore[n0].ref-size)

Rule argument

pos: left 6 terms: n0 abort: F discard: T computed: T

Additional information

Used terms: n0