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Proof step 10 from proof log-disjoint-istore (previous step)

lpt[n].flags = LP_INDEX_NODES, istore[n] = indexblock(indx, lax, lpt[n].ref-size), elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, n < # lpt, abs-leb(avol[n], indexblock(indx, lax, lpt[n].ref-size), lpt[n]), n ∈ gstore, n ∈ nx, n ∈ istore, ∀ n. (n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], gstore[n], lpt[n])) ∧ (n ∈ gstore → lpt[n].ref-size = gstore[n].ref-size) ⊦ #(dom istore ∩ elems nx) = 0, n ∈ ginval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
istore[n] = indexblock(indx, lax, m), lpt[n] = mklp(m, m0, lpf, m1), lpf = LP_INDEX_NODES, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, n < # lpt, abs-leb(avol[n], indexblock(indx, lax, m), lpt[n]), n ∈ istore, n ∈ nx, n ∈ gstore, ∀ n. (n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], gstore[n], lpt[n])) ∧ (n ∈ gstore → lpt[n].ref-size = gstore[n].ref-size) ⊦ #(dom istore ∩ elems nx) = 0, n ∈ ginval

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], m, m0, lpf, m1]

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], m, m0, lpf, m1