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Proof step 8 from proof log-disjoint-istore (previous step)

lpt[n].flags = LP_INDEX_NODES, lpt[n].ref-size = istore[n].ref-size, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, n < # lpt, abs-leb(avol[n], istore[n], 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 9:
lpt[n].flags = LP_INDEX_NODES, lpt[n].ref-size = m, istore[n] = indexblock(indx, lax, m), elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, n < # lpt, abs-leb(avol[n], istore[n], 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: ablock, inst: index-store name: elim seq: ⊦ (indx = iblock.indlist ∧ lax = iblock.ladrlist) ∧ m = iblock.ref-size ↔ iblock = indexblock(indx, lax, m) subst: [iblock, indx, lax, m] → [istore[n], indx, lax, m]

Additional information

Used simplifier rules: ⊦ (indx = iblock.indlist ∧ lax = iblock.ladrlist) ∧ m = iblock.ref-size ↔ iblock = indexblock(indx, lax, m); (elim) Used terms: istore[n], indx, lax, m