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Proof step 7 from proof abs-istore-set-lebsize (previous step)

istore[n3] = indexblock(indx, lax, m), lpt[n] = mklp(n0, n1, LP_INDEX_NODES, n2), lpt[n, mklp(n0, LEB_SIZE, LP_INDEX_NODES, n2)][n3] = mklp(m0, m1, lpf, m2), n < # avol, ∀ n. (n < # lpt ∧ 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) ⊦ (n3 < # lpt ∧ lpf = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n3], indexblock(indx, lax, m), mklp(m, m1, lpf, m2)) ∧ m0 = m)

User applied rule all left

And obtained the following new goals

Proof step 8:
n3 < # lpt ∧ lpt[n3].flags = LP_INDEX_NODES ↔ n3 ∈ istore, lpt[n, mklp(n0, LEB_SIZE, LP_INDEX_NODES, n2)][n3] = mklp(m0, m1, lpf, m2), lpt[n] = mklp(n0, n1, LP_INDEX_NODES, n2), istore[n3] = indexblock(indx, lax, m), n < # avol, n3 ∈ istore → abs-leb(avol[n3], istore[n3], lpt[n3]) ∧ lpt[n3].ref-size = istore[n3].ref-size ⊦ (n3 < # lpt ∧ lpf = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n3], indexblock(indx, lax, m), mklp(m, m1, lpf, m2)) ∧ m0 = m)

Rule argument

pos: left 5 terms: n3 abort: F discard: T computed: T

Additional information

Used terms: n3