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Proof step 5 from proof abs-istore-set-refsize (previous step)

istore[n] = indexblock(indx, lax, n3), lpt[n] = mklp(n0, n1, LP_INDEX_NODES, n4), istore[n, indexblock(indx, lax, m0)][n5] = indexblock(indx0, lax0, m), n ∈ istore, ∀ 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) ⊦ (n5 < # lpt ∧ lpt[n, mklp(m0, n1, LP_INDEX_NODES, n2)][n5].flags = LP_INDEX_NODES ↔ n5 ∈ istore[n, indexblock(indx, lax, m0)]) ∧ ( n5 ∈ istore[n, indexblock(indx, lax, m0)] → abs-leb (avol[n5], indexblock(indx0, lax0, lpt[n, mklp(m0, n1, LP_INDEX_NODES, n2)][n5].ref-size), lpt[n, mklp(m0, n1, LP_INDEX_NODES, n2)][n5]) ∧ lpt[n, mklp(m0, n1, LP_INDEX_NODES, n2)][n5].ref-size = m)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt[n, mklp(m0, n1, LP_INDEX_NODES, n2)][n5], m1, m2, lpf, m3]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt[n, mklp(m0, n1, LP_INDEX_NODES, n2)][n5], m1, m2, lpf, m3